Updated: July 5th, 2023 16:04

2021 journal article

EXAMINATION OF SOLVING OPTIMAL CONTROL PROBLEMS WITH DELAYS USING GPOPS-II

*NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION*, *11*(2), 283–305.

author keywords: Optimal control; delayed dynamics; waveform relaxation; direct transcription; control parameterization; SOS; GPOPS-II

TL;DR:
It is seen that GPOPS-Ⅱ finds a suboptimal solution when used as a direct transcription delayed optimal control problem solver but that it is often able to produce a good solution of the optimal controlProblem when use as a delayed boundary value solver of the necessary conditions.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: March 29, 2021

2020 journal article

INITIAL GUESS SENSITIVITY IN COMPUTATIONAL OPTIMAL CONTROL PROBLEMS

*NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION*, *10*(1), 39–43.

author keywords: Optimal control; initial guesses; interior point methods; IPOPT; G-POPS II

TL;DR:
An optimal control problem is presented that exhibited unexpected initial guess dependence when being solved with direct transcription methods and the cautionary tale it provides is presented.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: January 27, 2020

2020 journal article

Invariant Subspaces, Derivative Arrays, and the Computation of the Drazin Inverse

*VIETNAM JOURNAL OF MATHEMATICS*, *48*(4), 661–677.

author keywords: Drazin inverse; Computation; Robustness; Invariant subspaces; Derivative array

Sources: Web Of Science, NC State University Libraries

Added: May 8, 2020

2019 report

A Problem from Genetics and the Singular Value Decomposition

[Preprint].

Sources: NC State University Libraries, NC State University Libraries

Added: October 25, 2020

2018 journal article

Decentralized Observer-Based Reliable Control for a Class of Interconnected Markov Jumped Time-Delay System Subject to Actuator Saturation and Failure

*CIRCUITS SYSTEMS AND SIGNAL PROCESSING*, *37*(11), 4728–4752.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: November 5, 2018

2018 journal article

Reliable H-infinity control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure

*JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS*, *355*(9), 3853–3872.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2017 journal article

Comment on solution of differential-algebraic equations through gradient flow embedding

*Computers & Chemical Engineering*, *106*, 529–531.

author keywords: Differential-algebraic equations; Gradient flows; Index; Ordinary differential equations

TL;DR:
An algorithm that is designed to integrate some index one DAEs is presented, and how the assumptions of the algorithm fit within a more general framework is clarified.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, Crossref, ORCID, NC State University Libraries

Added: August 6, 2018

2016 chapter

Active Fault Detection in Nonlinear Differential Algebraic Equations I: General Systems

In D. Martin (Ed.), *Fault Detection: Methods, Applications and Technology* (pp. 1–27). Hauppauge, NY: Nova Publishers.

Ed(s): D. Martin

Source: NC State University Libraries

Added: September 8, 2019

2016 chapter

Active Fault Detection in Nonlinear Differential Algebraic Equations II: Using Linearizations

In D. Martin (Ed.), *Fault Detection: Methods, Applications and Technology* (pp. 29–51). Hauppauge, NY: Nova Publishers.

Ed(s): D. Martin

Source: NC State University Libraries

Added: September 8, 2019

2016 conference paper

Actuator effects on auxiliary signal design for failure detection

*SoutheastCon 2016*. Presented at the SoutheastCon 2016.

Event: SoutheastCon 2016

Sources: NC State University Libraries, Crossref, ORCID, NC State University Libraries

Added: August 6, 2018

2016 conference paper

Auxiliary signal design for failure detection with initial prior information

*SoutheastCon 2016*. Presented at the SoutheastCon 2016.

Event: SoutheastCon 2016

Sources: NC State University Libraries, Crossref, ORCID, NC State University Libraries

Added: August 6, 2018

2016 journal article

Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches

*NUMERICAL ALGORITHMS*, *73*(3), 807–838.

author keywords: Optimal control; Direct transcription; Pseudospectral; Differential algebraic equation

TL;DR:
This paper reexamines several of these questions but using an hp-pseudospectral code and sees that while philosophically the results are often similar to the IRK results, there are some differences that should be understood by users solving constrained optimal control problems.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2016 journal article

Solving higher index DAE optimal control problems

*Numerical Algebra, Control and Optimization*, *6*(4), 447–472.

author keywords: Optimal control; differential algebraic equations; higher index; numerical methods; direct transcription

TL;DR:
This paper goes over many of methods for solving optimal control problems where the process being optimized is described by a differential algebraic equation and uses a nonlinear index three control problem to illustrate many of the observations.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, ORCID, NC State University Libraries

Added: July 20, 2019

2016 journal article

Solving optimal control problems with control delays using direct transcription

*APPLIED NUMERICAL MATHEMATICS*, *108*, 185–203.

author keywords: Delay; Optimal control; Direct transcription; Numerical methods

TL;DR:
A new technique for treating control delays when using a direct transcription approach is investigated in this paper.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2015 journal article

Lobatto IIIA methods, direct transcription, and DAEs with delays

*NUMERICAL ALGORITHMS*, *69*(2), 291–300.

author keywords: Optimal control; Delays; Direct transcription; Numerical discretizations; Stability

TL;DR:
This work shows that this undesirable behavior of LobattoIIIA methods reported in the literature is tied to the use of Lagrange interpolation and their use in an ODE integrator.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2015 conference paper

Robust finite-time filtering for singular discrete-time stochastic systems

*2015 27th chinese control and decision conference (ccdc)*, 913–918.

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

2015 chapter

The Flexibility of DAE Formulations

In *Surveys in Differential-Algebraic Equations III* (pp. 1–59).

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2014 conference paper

Asynchronous auxiliary signal design for failure detection

*2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC)*. Presented at the 2014 IEEE International Conference on Systems, Man and Cybernetics - SMC.

Event: 2014 IEEE International Conference on Systems, Man and Cybernetics - SMC

Sources: Crossref, ORCID, NC State University Libraries

Added: July 20, 2019

2014 journal article

Auxiliary signal design for failure detection in differential-algebraic equations

*Numerical Algebra, Control and Optimization*, *4*(2), 151–179.

author keywords: Active fault detection; auxiliary signal design; failure detection; differential-algebraic equations; DAE

TL;DR:
This paper addresses active fault detection in DAE by presenting an auxiliary test signal guaranteeing detection, assuming bounded additive noise and an efficient real time detection algorithm.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2014 conference paper

Auxiliary signal design for failure detection in high index differential-algebraic equations

*53rd IEEE Conference on Decision and Control*. Presented at the 2014 IEEE 53rd Annual Conference on Decision and Control (CDC).

Event: 2014 IEEE 53rd Annual Conference on Decision and Control (CDC)

Sources: Crossref, ORCID, NC State University Libraries

Added: July 20, 2019

2014 chapter

Linear Differential Algebraic Equations and Observers

In *Surveys in Differential-Algebraic Equations II* (pp. 1–67).

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2013 conference paper

Direct Transcription Solution of Optimal Control Problems with Differential Algebraic Equations with Delays

*Power and Energy / 807: Intelligent Systems and Control / 808: Technology for Education and Learning*. Presented at the Power and Energy.

Event: Power and Energy

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2013 journal article

Eigenvalue placement in completions of DAES

*Electronic Journal of Linear Algebra*, *26*(1), 520–534.

Sources: NC State University Libraries, ORCID, NC State University Libraries

Added: August 6, 2018

2013 chapter

Observer based fault detection in differential algebraic equations

In *2013 Proceedings of the Conference on Control and its Applications* (pp. 176–183).

Sources: NC State University Libraries, Crossref, NC State University Libraries

Added: August 6, 2018

2013 journal article

On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *242*, 213–231.

author keywords: Differential-algebraic equation; Optimal control; Radau; Gauss-Lobatto; Direct transcription; Numerical methods

TL;DR:
Both a direct transcription approach and the solution of the necessary conditions are examined for two important discretizations of optimal control problems with linear time-varying DAEs as the process and quadratic cost functionals.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2013 conference paper

Simulation and Optimization of Systems with Delays

*Proceedings of the 2013 Spring Simulation Multiconference Poster Session*, 1084–1085. San Diego: Society for Computer Simulation International.

Source: NC State University Libraries

Added: October 25, 2020

2012 journal article

A minimal norm corrected underdetermined Gauss-Newton procedure

*Applied Numerical Mathematics*, *62*(5), 592–605.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

2012 journal article

Active Robust Fault Detection in Closed-Loop Systems: Quadratic Optimization Approach

*IEEE Transactions on Automatic Control*, *57*(10), 592–605.

author keywords: Closed-loop systems; detection algorithms; fault detection; feedback; signal design

TL;DR:
This paper considers the problem of optimal exogenous signal design for a linear uncertain system controlled by a linear feedback and shows that a suitable feedback can reduce the cost function compared with the open-loop case.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 chapter

Chapter 10: Optimal Control of a Delay PDE

In *Control and Optimization with Differential-Algebraic Constraints* (pp. 213–231).

Sources: Crossref, NC State University Libraries

Added: July 20, 2019

2012 conference paper

Constructing observers for linear time varying DAEs

*2012 IEEE 51st IEEE Conference on Decision and Control (CDC)*, 5749–5754.

Sources: NC State University Libraries, ORCID, NC State University Libraries

Added: August 6, 2018

2012 book

Source: ORCID

Added: August 18, 2019

2012 book

Control and Optimization with Differential-Algebraic Constraints

Philadelphia, PA: Society for Industrial and Applied Mathematics.

Source: NC State University Libraries

Added: March 18, 2021

2012 journal article

Effects of feedback on active fault detection

*AUTOMATICA*, *48*(5), 866–872.

author keywords: Fault detection; Linear system; Detection systems; Feedback; Optimal detection

TL;DR:
Feedback plays an important role in control but its role in active fault detection based on auxiliary signals has not been explored, yet, so this paper begins that investigation.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2012 conference paper

Regularization of linear and nonlinear descriptor systems

*Control and optimization with differential-algebraic constraints*, (23), 17–36.

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

2011 journal article

Active incipient fault detection in continuous time systems with multiple simultaneous faults

*Numerical Algebra, Control and Optimization*, *1*(2), 211–224.

author keywords: Fault detection; numerical methods

TL;DR:
A computational method for the construction of an input signal for achieving guaranteed detection with specified precision is presented, an extension of a multi-model approach used for theConstruction of auxiliary signals for failure detection, however, new technical issues must be addressed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: July 27, 2019

2011 journal article

Auxiliary signal design for robust active fault detection of linear discrete-time systems

*AUTOMATICA*, *47*(9), 1887–1895.

author keywords: Fault detection; Test signal reconstruction; Model based fault detection; Matrix Riccati equations; Dynamic optimization

TL;DR:
In this paper, algorithms are proposed to design auxiliary signals for active fault detection based on a multi-model formulation of discrete-time systems by using a recursive approach based on the use of special Riccati equations.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2011 conference paper

Direct Transcription Solution of Optimal Control Problems with Control Delays

Presented at the NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics.

Event: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics

author keywords: Optimal control; numerical methods; direct transcription; delays

TL;DR:
Progress and challenges in developing a general purpose industrial grade direct transcription code that can handle problems with delays in the more challenging case of control delays are described.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: March 8, 2020

2011 conference paper

Direct optimization determination of auxiliary test signals for linear problems with model uncertainty

*IEEE Conference on Decision and Control and European Control Conference*. Presented at the 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011).

Event: 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011)

Sources: Crossref, NC State University Libraries

Added: July 27, 2019

2011 conference paper

Direct transcription solution of optimal control problems with delays

*Numerical Analysis and Applied Mathematics ICNAAM2011 AIP Conf. Proc.*, *1389*, 38–41.

Source: NC State University Libraries

Added: July 11, 2019

2011 conference paper

Full order observers for linear DAEs

*IEEE Conference on Decision and Control and European Control Conference*. Presented at the 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011).

Sources: Crossref, NC State University Libraries

Added: July 27, 2019

2011 conference paper

Maximally reduced observers for linear time varying DAEs

*2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD)*. Presented at the Control (MSC).

Event: Control (MSC)

Sources: Crossref, NC State University Libraries

Added: July 27, 2019

2011 conference paper

Optimal control software for constrained nonlinear systems with delays

*2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD)*. Presented at the Control (MSC).

Event: Control (MSC)

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: July 27, 2019

2010 journal article

An active approach for detection of incipient faults

*INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE*, *41*(2), 241–257.

author keywords: incipient fault detection; fault detection; auxiliary signal design; identification

TL;DR:
It is shown that it is possible to consider the model of the system with a drifted parameter as a second model and use the MM framework for designing the auxiliary signal by considering the limiting case as the parameter variation goes to zero.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2010 book

Modeling and Simulation in Scilab/Scicos with ScicosLab 4.4

Source: ORCID

Added: August 18, 2019

2010 conference paper

Stabilized Completions of Differential Algebraic Equations and the Design of Observers

*Proceedings of Neural, Parallel, and Scientific Computation*. Presented at the Fourth International Conference on Neural, Parallel and Scientific Computation, Atlanta, GA.

Event: Fourth International Conference on Neural, Parallel and Scientific Computation at Atlanta, GA

Source: NC State University Libraries

Added: March 18, 2021

2010 journal article

Teaching Introductory Differential Equations with ScicosLab

*CODEE Journal*, *7*(1), 1–12.

Sources: Crossref, ORCID, NC State University Libraries

Added: July 27, 2019

2009 journal article

AUXILIARY SIGNAL DESIGN FOR FAULT DETECTION IN NONLINEAR SYSTEMS

*Control and Intelligent Systems*, *37*(3).

Sources: Crossref, NC State University Libraries

Added: July 27, 2019

2009 article

Active incipient fault detection with more than two simultaneous faults

*2009 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2009), VOLS 1-9*, pp. 3322–3327.

author keywords: Failure detection; linear system; detection systems; feedback; optimal detection

TL;DR:
A computational method for the construction of an input signal for achieving guaranteed detection with specified precision is presented for discrete time systems.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, ORCID, NC State University Libraries

Added: August 6, 2018

2009 journal article

Active incipient fault detection with two simultaneous faults

*IFAC Proceedings Volumes*, *42*(8), 573–578.

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2009 journal article

Active robust fault detection of closed-loop systems: general cost case

*IFAC Proceedings Volumes*, *42*(8), 585–590.

Event: 2009 SafeProcess: 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes at Barcelona, Spain on June 30 - July 3, 2009

Sources: NC State University Libraries, NC State University Libraries

Added: March 18, 2021

2009 journal article

Completions of implicitly defined linear time varying vector fields

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *431*(9), 1422–1438.

author keywords: Differential algebraic equations; Numerical methods; Linear systems; Stability

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2009 journal article

Completions of nonlinear DAE flows based on index reduction techniques and their stabilization

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *233*(4), 1021–1034.

author keywords: Differential algebraic equations; Numerical methods; Stability

TL;DR:
New results are provided on the linear time-varying case and the important nonlinear case of the embedding of the DAE solutions of a general DAE into the solutions of an ODE where the added dynamics have special properties.
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UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2009 journal article

Feedback in Active Fault Detection

*IFAC Proceedings Volumes*, *42*(10), 192–196.

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2009 book

Generalized Inverses of Linear Transformations

In *GENERALIZED INVERSES OF LINEAR TRANSFORMATIONS* (Vol. 56, pp. 1–272).

Sources: Web Of Science, ORCID, NC State University Libraries

Added: August 6, 2018

2009 conference paper

Modeling Viscoelastic Wall Properties of Ovine Arteries

*ASME 2009 Summer Bioengineering Conference, Parts A and B*. Presented at the ASME 2009 Summer Bioengineering Conference.

Event: ASME 2009 Summer Bioengineering Conference

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2009 journal article

Optimal piecewise-constant signal design for active fault detection

*INTERNATIONAL JOURNAL OF CONTROL*, *82*(1), 130–146.

author keywords: fault detection; active; test signal; optimisation

TL;DR:
A new algorithm is presented to compute optimal piecewise constant test signals for active fault detection when traditional approaches are not effective or cannot be used.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2009 conference paper

Robust Multi-Model Fault Detection and Control using an Active Closed-Loop Approach

*Proceedings of the 15th IFAC Symposium on System Identification - SYSID 2009*. Presented at the 15th IFAC Symposium on System Identification - SYSID 2009, St. Malo, France.

Event: 15th IFAC Symposium on System Identification - SYSID 2009 at St. Malo, France on July 6-8, 2009

Source: NC State University Libraries

Added: March 18, 2021

2009 journal article

Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions

*APPLIED MATHEMATICS AND COMPUTATION*, *208*(2), 397–415.

author keywords: Delay differential-algebraic equation; Multiple delays; Asymptotic stability; Regular pencil; Numerical solution

TL;DR:
First, a sufficient condition for delay-independent stability is given, after characterizing the coefficient matrices that satisfy this stability condition, some practical checkable criteria for asymptotic stability are proposed.
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Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2009 conference paper

Two applications of Modeling and Simulation in the Design and Development of Navy Systems

Drake, K. J., Bradshaw, K., Violante, P., & Campbell, S. L. (2009, May 12). Presented at the American Society of Naval Engineers (ASNE) Intelligent Ships Symposium VIII (ISSVIII) Proceedings, Philadelphia, PA.

Event: American Society of Naval Engineers (ASNE) Intelligent Ships Symposium VIII (ISSVIII) Proceedings at Philadelphia, PA on May 12, 2009

Source: NC State University Libraries

Added: March 18, 2021

2008 conference paper

Active fault detection in nonlinear systems using auxiliary signals

*2008 American Control Conference*. Presented at the 2008 American Control Conference (ACC '08).

Event: 2008 American Control Conference (ACC '08)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2008 journal article

Adjoint estimation using direct transcription multipliers: compressed trapezoidal method

*OPTIMIZATION AND ENGINEERING*, *9*(3), 291–305.

author keywords: direct transcription; adjoint estimation; trapezoid method; optimal control

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2008 conference paper

Completions of Implicitly Defined Vector fields and their applications

*Proceedings of the International Symposium on Mathematical Theory of Networks and Systems (MTNS 08)*. Presented at the International Symposium on Mathematical Theory of Networks and Systems (MTNS 08), Virginia Tech, Blacksburg, Virginia, USA.

Event: International Symposium on Mathematical Theory of Networks and Systems (MTNS 08) at Virginia Tech, Blacksburg, Virginia, USA on July 28 - August 1, 2008

Source: NC State University Libraries

Added: March 24, 2021

2008 journal article

Differential-algebraic equations

*Scholarpedia*, *3*(8), 2849.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

2008 journal article

On the detection of small parameter variations in linear uncertain systems

*EUROPEAN JOURNAL OF CONTROL*, *14*(2), 158–171.

author keywords: parameter identification; incipient fault detection; auxiliary signal design; multi-model formulation

TL;DR:
A constructive method for the construction of an optimal input signal for achieving guaranteed detection with specified precision is presented and the application to the problem of incipient fault detection is investigated.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2007 journal article

Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *202*(2), 186–202.

author keywords: direct transcription; optimal control; control selection; numerical algorithms; differential algebraic equations

TL;DR:
This paper develops some theoretical results that will be needed for the development of guidelines to assist users of various numerical optimal control packages.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2007 journal article

Direct transcription solution of higher-index optimal control problems and the virtual index

*APPLIED NUMERICAL MATHEMATICS*, *57*(3), 281–296.

author keywords: numerical methods; optimal control; direct transcription

TL;DR:
It is demonstrated that direct transcription methods, which use a different approach, can successfully solve some higher index equality constrained optimal control problems and that the role of the index needs reinterpretation when usingdirect transcription methods.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2007 journal article

Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice

*OPTIMIZATION AND ENGINEERING*, *8*(1), 1–19.

author keywords: optimal control; numerical methods; direct transcription; constraints

TL;DR:
This example illustrates several aspects of direct transcription codes that require a reinterpretation of the numerical and analytical theory in an industrial grade optimal control package that uses a direct transcription approach.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2007 journal article

Model-Based Failure Detection on Nonlinear Systems: Theory and Transition

*Naval Engineers Journal*, *119*(2), 93–107.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

7. Affordable and Clean Energy
(OpenAlex)

Sources: ORCID, Crossref, NC State University Libraries, Web Of Science

Added: August 6, 2018

2007 journal article

Some software aspects of DAE simulation & optimization software

Some software aspects of DAE simulation & optimization software. *PAMM*, *7*(1), 1023103–1023104.

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2007 journal article

The additional dynamics of least squares completions for linear differential algebraic equations

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *425*(2-3), 471–485.

author keywords: differential algebraic equations; DAEs; extra dynamics

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2006 conference paper

Active Incipient Failure Detection: A Nonlinear Case Study

*Proceedings of the 4th International Conference on Computing, Communications and Control Technologies: CCCT '06*. Presented at the 4th International Conference on Computing, Communications and Control Technologies: CCCT '06, Orlando, FL.

Event: 4th International Conference on Computing, Communications and Control Technologies: CCCT '06 at Orlando, FL on July 20-23, 2006

Source: NC State University Libraries

Added: March 24, 2021

2006 conference paper

Applications of Robust Failure Detection Algorithms to Power Systems

*Proceedings of the 13th International Conference on, Intelligent Systems Application to Power Systems*. Presented at the 13th International Conference on, Intelligent Systems Application to Power Systems.

Event: 13th International Conference on, Intelligent Systems Application to Power Systems

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2006 article

Auxiliary signal design for active failure detection in uncertain linear systems with a priori information

Nikoukhah, R., & Campbell, S. L. (2006, February). *AUTOMATICA*, Vol. 42, pp. 219–228.

author keywords: failure detection; active detection; test signal construction; model-based fault detection

TL;DR:
A method for auxiliary signal design for active failure detection based on a multi-model formulation of normal and failed systems is developed which allows for a priori information about initial conditions and the possibility of having a known input in addition to the test signal.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2006 conference paper

Comparison between failure detection test signals for continuous systems and sampled-data systems

*Proceedings of the 45th IEEE Conference on Decision and Control*. Presented at the Proceedings of the 45th IEEE Conference on Decision and Control.

Event: Proceedings of the 45th IEEE Conference on Decision and Control

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2006 journal article

Differential-Algebraic Equations

*Oberwolfach Reports*, 1077–1168.

Source: ORCID

Added: August 18, 2019

2006 conference paper

Model Based Failure Detection using Test Signals from Linearizations: A Case Study

*2006 IEEE Conference on Computer-Aided Control Systems Design*. Presented at the 2006 IEEE Conference on Computer-Aided Control Systems Design.

Event: 2006 IEEE Conference on Computer-Aided Control Systems Design

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2006 book

Modeling and simulation in Scilab/Scicos

New York: Springer.

Source: NC State University Libraries

Added: August 6, 2018

2006 conference paper

Order of Convergence in the Direct Transcription Solution of Optimal Control Problems

*Proceedings of the 44th IEEE Conference on Decision and Control*. Presented at the 44th IEEE Conference on Decision and Control.

Event: 44th IEEE Conference on Decision and Control

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2006 conference paper

Robust detection of incipient faults: an active approach

*2006 14th Mediterranean Conference on Control and Automation*. Presented at the 2006 14th Mediterranean Conference on Control and Automation.

Event: 2006 14th Mediterranean Conference on Control and Automation

Sources: Crossref, NC State University Libraries

Added: December 16, 2019

2005 conference paper

A comparison of optimal and suboptimal auxiliary signal design approaches for robust failure detection

*Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005.* Presented at the 2005 IEEE Conference on Control Applications, 2005. CCA 2005.

Event: 2005 IEEE Conference on Control Applications, 2005. CCA 2005.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2005 journal article

A multi-model approach to failure detection in uncertain sampled-data systems

*EUROPEAN JOURNAL OF CONTROL*, *11*(3), 255–265.

author keywords: active failure detection; auxiliary signal design; multi-model identification; sampled-data systems

TL;DR:
Using a multi-model framework to represent normal and failed behaviors of the system, algorithms for the design of optimal auxiliary signals and online detection tests are developed that give guaranteed detection.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2005 conference paper

Auxiliary Signal Design for Robust Failure Detection: A Case Study

*2005 International Conference on Control and Automation*. Presented at the 2005 International Conference on Control and Automation.

Event: 2005 International Conference on Control and Automation

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: January 5, 2020

2005 conference paper

Computation of consistent initial conditions for multi-mode DAEs: application to Scicos

*2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)*. Presented at the 2004 IEEE International Symposium on Computer Aided Control Systems Design.

Event: 2004 IEEE International Symposium on Computer Aided Control Systems Design

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2005 conference paper

Direct Transcription Solution of Higher-Index Optimal Control Problems

In N. Dangoumau, M. Benrejeb, & P. Borne (Eds.), *17th IMACS world congress on scientific computation, applied mathematics and simulation: Paris, France, July 11-15, 2005*. Villeneuve d'Ascq: École centrale de Lille.

Ed(s): N. Dangoumau, M. Benrejeb & P. Borne

Event: IMACS World congress at Paris, France on July 11-15, 2005

Source: NC State University Libraries

Added: March 24, 2021

2005 chapter

Discretize then Optimize

In D. R. Ferguson & T. J. Peters (Eds.), *Mathematics for industry : challenges and frontiers : a process view: practice and theory*. Philadelphia: SIAM Publications.

Ed(s): D. Ferguson & T. Peters

Event: Siam Conference on Mathematics for Industry: Challenges and Frontiers at Toronto, Ontario

Source: NC State University Libraries

Added: April 8, 2021

2005 conference paper

The role of model formulation in DAE integration: Experience gained in developing Scicos

In N. Dangoumau, M. Benrejeb, & P. Borne (Eds.), *17th IMACS world congress on scientific computation, applied mathematics and simulation: Paris, France, July 11-15, 2005*. Villeneuve d'Ascq: École centrale de Lille.

Ed(s): N. Dangoumau, M. Benrejeb & P. Borne

Event: IMACS World congress at Paris, France on July 11-15, 2005

Source: NC State University Libraries

Added: March 24, 2021

2004 conference paper

A numerical integrator for simulation of unstructured implicit models

*Proceedings of the 2004 American Control Conference*. Presented at the Proceedings of the 2004 American Control Conference.

Event: Proceedings of the 2004 American Control Conference

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2004 conference paper

Analysis of spline based auxiliary signal design for failure detection in delay systems

*SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483)*. Presented at the SMC '03 2003IEEE International Conference on Systems, Man and Cybernetics.

Event: SMC '03 2003IEEE International Conference on Systems, Man and Cybernetics

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

2004 book

Auxiliary Signal Design for Failure Detection

Sources: NC State University Libraries, ORCID, NC State University Libraries

Added: August 6, 2018

2004 book

Characterization and Computation of a "Good Control"

In *Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik*.

Contributors: ^{ n} & R. März ^{*}

Source: ORCID

Added: August 18, 2019

2004 conference paper

Design of a Detection Signal for Fault Detection and Model Identification on Systems with Multiple Delays

*Proceedings of the American Society of Naval Engineers Day 2004*. Presented at the American Society of Naval Engineers Day, Alexandria, VA.

Event: American Society of Naval Engineers Day at Alexandria, VA on June 28-29, 2004

Source: NC State University Libraries

Added: April 8, 2021

2004 conference paper

Direct transcription solution of inequality constrained optimal control problems

*Proceedings of the 2004 American Control Conference*. Presented at the Proceedings of the 2004 American Control Conference.

Event: Proceedings of the 2004 American Control Conference

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

2004 conference paper

Initialization of direct transcription optimal control software

*42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)*. Presented at the 42nd IEEE International Conference on Decision and Control.

Event: 42nd IEEE International Conference on Decision and Control

UN Sustainable Development Goal Categories

9. Industry, Innovation and Infrastructure
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2004 conference paper

ODE and DAE integrators in Scicos environment

In M. H. Hamza (Ed.), *Proceedings of the IASTED International Conference on Applied Simulation and Modelling and Simulation : June 28-30, 2004, Rhodes, Greece*. Anaheim, California: ACTA Press.

Ed(s): M. Hamza

Event: IASTED International Conference on Applied Simulation and Modeling at Rhodes, Greece on June 28-30, 2004

Source: NC State University Libraries

Added: March 24, 2021

2004 journal article

Practical methods for optimal control using nonlinear programming, John T. Betts, SIAM, Philadelphia, PA, 2001, ISBN 0-89871-488-5

*International Journal of Robust and Nonlinear Control*, *14*(11), 1019–1021.

Sources: Crossref, NC State University Libraries

Added: March 8, 2020

2004 conference paper

Software for auxiliary signal design

*Proceedings of the 2004 American Control Conference*. Presented at the Proceedings of the 2004 American Control Conference.

Event: Proceedings of the 2004 American Control Conference

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2004 journal article

Unitary partitioning in general constraint preserving DAE integrators

*MATHEMATICAL AND COMPUTER MODELLING*, *40*(11-12), 1273–1284.

author keywords: differential algebraic equati ons; numerical integration; constraint preservation; singular system

TL;DR:
A new variable step size, constraint preserving integrator for general nonlinear fully implicit higher index DAEs, and examples illustrate the effectiveness of the new method.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2003 conference paper

Auxiliary signal design for failure detection in uncertain sampled-data systems

*2003 European Control Conference (ECC)*. Presented at the 2003 European Control Conference (ECC).

Event: 2003 European Control Conference (ECC)

Sources: Crossref, NC State University Libraries

Added: February 10, 2020

2003 journal article

Auxiliary signal design for robust active failure detection: the general cost case

*Proc. Safeprocess 2003*, 259–264.

Source: NC State University Libraries

Added: July 11, 2019

2003 conference paper

Early decision making when using proper auxiliary signals

*Proceedings of the 41st IEEE Conference on Decision and Control, 2002.* Presented at the IEEE Conference on Decision and Control.

Event: IEEE Conference on Decision and Control

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

2002 conference paper

Active failure detection: Auxiliary signal design and on-line detection

*MED2002 : 10th IEEE Mediterranean conference on control and automation : Instituto Superior Técnico : July 9-12, 2002 : Lisboa, Portugal : proceedings*. Presented at the 10th IEEE Mediterranean conference on control and automation, Lisbon, Portugal.

Event: 10th IEEE Mediterranean conference on control and automation at Lisbon, Portugal on July 9-12, 2002

Source: NC State University Libraries

Added: April 8, 2021

2002 journal article

Auxiliary signal design for multi-model identification in systems with multiple delays

*MED2002 : 10th IEEE Mediterranean Conference on Control and Automation : Instituto Superior Técnico : July 9-12, 2002 : Lisboa, Portugal : Proceedings*. Presented at the 10th IEEE Mediterranean conference on control and automation, Lisbon, Portugal.

Source: NC State University Libraries

Added: April 8, 2021

2002 article

Auxiliary signal design for rapid multi-model identification using optimization

Campbell, S. L., Horton, K. G., & Nikoukhah, R. (2002, August). *AUTOMATICA*, Vol. 38, pp. 1313–1325.

author keywords: linear systems; identification algorithms; molde-based recognition; numerical algorithms

TL;DR:
A method for the computation of the minimal energy auxiliary signal is given and it can handle more than two models and certain types of nonlinearities.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2002 journal article

Auxiliary signal design for robust multimodel identification

*IEEE Transactions on Automatic Control*, *47*(1), 158–164.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

11. Sustainable Cities and Communities
(Web of Science)

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

2002 journal article

Compensating for order variation in mesh refinement for direct transcription methods II: Computational experience

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *143*(2), 237–261.

author keywords: optimal control; mesh refinement; numerical algorithms

TL;DR:
The results from a number of computational studies on the effectiveness of the Implicit Runge Kutta methods are presented and a new test problem is presented which can be used to examine the efficiency of codes developed for a particular class of applications.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2002 journal article

Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *23*(6), 1981–2007.

author keywords: optimal control; differential algebraic equations; numerical discretizations

TL;DR:
The difference between solving index 3 differential algebraic equations using the trapezoid method in the context of direct transcription for optimal control problems and a straightforward implicit Runge--Kutta (IRK) formulation of the same trapezoidal discretization is analyzed and convergence independent of the index of the constraints is proven for one class of problems.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2002 conference paper

Determining flatness for complex nonlinear systems

*Proceedings IEEE Southeastcon '95. Visualize the Future*, 118–122.

Event: IEEE Southeastcon '95. Visualize the Future

Sources: Crossref, NC State University Libraries

Added: September 29, 2019

2002 journal article

Optimization formulations of auxiliary signal design for rapid multi-model identification

*Automatica*, *38*, 1313–1325.

Source: NC State University Libraries

Added: July 11, 2019

2002 conference paper

The design of auxiliary signals for robust active failure detection in uncertain systems

*Proceedings of the Mathematical Theory of Networks and Systems*. Presented at the Mathematical Theory of Networks and Systems, Notre Dame, IN.

Event: Mathematical Theory of Networks and Systems at Notre Dame, IN

Source: NC State University Libraries

Added: April 8, 2021

2001 conference paper

Auxiliary signal design for failure detection in uncertain systems

In N. T. K. P. P. Groumpos & M. Polycarpou (Eds.), *Proceedings of the 9th IEEE Mediterranean Conference on Control and Automation*. Piscataway, N.J.: IEEE.

Ed(s): N. P. P. Groumpos & M. Polycarpou

Event: 9th IEEE Mediterranean Conference on Control and Automation at Dubrovnik, Croatia on June 27-29, 2001

Source: NC State University Libraries

Added: August 6, 2018

2001 journal article

Numerical analysis and systems theory

*International Journal of Applied Mathematics and Computer Science*, *11*(5), 1025–1033.

Source: NC State University Libraries

Added: August 6, 2018

2001 article

Numerically constructible observers for linear time-varying descriptor systems

Biehn, N., Campbell, S. L., Nikoukhah, R., & Delebecque, F. (2001, March). *AUTOMATICA*, Vol. 37, pp. 445–452.

author keywords: descriptor systems; observers; linear systems; time-varying systems; computational methods

TL;DR:
This paper examines the design of observers for linear time-varying descriptor systems for which an observer is designed for which the observer estimates are also physically correct in that they satisfy the same constraints as the solutions of the descriptor system.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2001 conference paper

Rapid multi-model identification in systems with delay

In C. T. A. K. Gu & S.-I. Niculescu (Eds.), *Time delay systems 2001 (TDS 2001): A proceedings volume from the 3rd IFAC Workshop, Sante Fe, New Mexico, USA, 8-10 December 2001* (pp. 296–301). Oxford: Pergamon.

Ed(s): C. K. Gu & S. Niculescu

Source: NC State University Libraries

Added: August 6, 2018

2000 journal article

Compensating for order variation in mesh refinement for direct transcription methods

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *125*(1-2), 147–158.

author keywords: implicit Runge-Kutta; optimization; differential algebraic equation

TL;DR:
This paper discusses how this numerical theory for Implicit Runge–Kutta methods can be utilized in direct transcription trajectory optimization by modifying a currently used mesh refinement strategy.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2000 conference paper

Computational experience with exploiting order variation in mesh refinement for direct transcription methods

*Proceedings: 16th IMACS World Congress.* New Brunswick, NJ: IMACS.

Source: NC State University Libraries

Added: August 6, 2018

2000 conference paper

Convergence of nonconvergent IRK discretizations of optimal control problems

*Proceedings: 16th IMACS World Congress.* New Brunswick, NJ: IMACS.

Source: NC State University Libraries

Added: August 6, 2018

2000 journal article

Detection signal design for failure detection: a robust approach

*INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING*, *14*(7), 701–724.

author keywords: failure detection; diagnosis; auxiliary signal

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2000 conference paper

Multi-model identification and the separability index

Source: NC State University Libraries

Added: August 6, 2018

2000 conference paper

On a general descriptor LQ problem

*Proceedings of the 8th IEEE Mediterranean Conference on Control & Automation: July 17-19, 2000, University of Patras, Patras, Greece.*

Source: NC State University Libraries

Added: August 6, 2018

2000 journal article

On singular equilibria of index-1 DAEs

*CIRCUITS SYSTEMS AND SIGNAL PROCESSING*, *19*(2), 131–157.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2000 conference paper

Rapid model selection and the separability index

*Fault detection, supervision and safety for technical processes 2000 (SAFEPROCESS 2000): A proceedings volume from the 4th IFAC Symposium, Budapest, Hungary, 14-16 June 2000*, 1187–1192.

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

2000 journal article

Some comments on DAE theory for IRK methods and trajectory optimization

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *120*(1-2), 109–131.

author keywords: implicit Runge-Kutta; optimization; differential algebraic equation

TL;DR:
The discussion is in the context of a specific industrial code SOCS but the observations made here have relevance for a number of methods and have implications for what types of test problems a code should be tested on.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

2000 journal article

The jump behavior and stability analysis for 2-D descriptor systems

*Multidimensional Systems and Signal Processing*, *11*(4), 339–358.

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1999 journal article

DAEs arising from traveling wave solutions of PDEs II

*COMPUTERS & MATHEMATICS WITH APPLICATIONS*, *37*(1), 15–34.

author keywords: differential algebraic equation; magnetohydrodynamics; dynamical systems

TL;DR:
A family of DAEs that arise in this manner from the Magnetohydrodynamics equations are examined, of interest in their own right, as a source of test problems for DAE numerical integrators, and because of their relationship to the MHD equations.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1999 conference paper

Detection Signal Design for Failure Detection

*Proceedings of the Iranian Conference on Electrical Engineering*, 45–52.

Event: Iranian Conference on Electrical Engineering

Source: NC State University Libraries

Added: October 24, 2021

1999 report

Exploiting order variation in mesh refinement for direct transcription methods

[Technical Report]. Boeing.

Source: NC State University Libraries

Added: October 24, 2021

1999 journal article

Kalman filtering for general discrete-time linear systems

*IEEE TRANSACTIONS ON AUTOMATIC CONTROL*, *44*(10), 1829–1839.

author keywords: descriptor systems; Kalman filtering; linear systems; singular systems; stochastic systems

TL;DR:
A solution to recursive state estimation problems for explicit and implicit time-invariant linear systems, both for systems with and without unknown inputs, is proposed which uses a generalization of the shuffle algorithm.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1999 conference paper

Mesh refinement that exploits order variation

*Proceedings of the Workshop: Optimalsteuerungsprobleme in der Luft- und Raumfahrt, Universitat Greifswald, 7/8 Oktober 1999 (Sonderforschungsbereich; 255)*, 1–12. Munchen: Hieronymus.

Source: NC State University Libraries

Added: August 6, 2018

1999 chapter

Nonlinear descriptor systems

In *Advances in control: Highlights of ECC '99* (pp. 247–282).

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1999 journal article

The index of an infinite dimensional implicit system

*MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS*, *5*(1), 18–42.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1998 article

Behavior of the nonunique terms in general DAE integrators

Campbell, S. L., & Yeomans, K. D. (1998, October). *APPLIED NUMERICAL MATHEMATICS*, Vol. 28, pp. 209–226.

author keywords: differential algebraic equation; DAE; numerical methods

TL;DR:
It is shown that the nonunique component is actually the numerical solution of an auxiliary DAE which depends not only on the original DAE but also on the predictor being used in the Gauss-Newton iteration.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1998 chapter

Intelligent DAE solvers and user friendly design, simulation, and analysis packages

In *1998 IEEE International Conference on Systems, Man, and Cybernetics: Intelligent systems for humans in a cyberworld, Hyatt La Jolla, San Diego, California, USA, October 11-14, 1998* (pp. 177–3182).

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1998 journal article

Mixed symbolic-numerical computations with general DAEs I: System properties

*Numerical Algorithms*, *19*(1-4), 73–83.

author keywords: differential-algebraic equations; DAE; numerical integration; implicit differential equation

TL;DR:
This expository paper discusses a variety of situations where DAEs have found mixed symbolic-numerical calculations to be essential and some applications of these calculations are presented.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1998 journal article

Mixed symbolic-numerical computations with general DAEs II: An applications case study

*Numerical Algorithms*, *19*(1-4), 85–94.

TL;DR:
This paper illustrates many of theorems and properties of nonlinear DAEs within the context of analyzing a specific nonlinear system that exhibits a variety of interesting features.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1998 journal article

Observer design for general linear time-invariant systems

*AUTOMATICA*, *34*(5), 575–583.

author keywords: observers; unknown input observers; system inversion; linear systems; descriptor systems

TL;DR:
The method used is based on recursively applying the reduction operation which consists of identifying and discarding equations that do not provide useful information for the estimation problem, which produces a reduced dimension system for which standard observers can be constructed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1998 chapter

Observer design for linear time varying descriptor systems: Numerical algorithms

In *Proceedings of the 37th IEEE Conference on Decision and Control: December 16-18, 1998, Hyatt Regency Westshore, Tampa, Florida* (pp. 3801–3806).

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1998 chapter

The interaction between simulation and modeling in infinite dimensional systems

In G. C. A. Tornambae & A. M. Perdon (Eds.), *Theory and practice of control: proceedings of the 6th IEEE Mediterranean Conference, Alghero, Sardinia, Italy 9-11 June 1998* (pp. 322–327).

Ed(s): G. A. Tornambae & A. Perdon

Sources: NC State University Libraries, NC State University Libraries

Added: August 6, 2018

1997 article

DAEs arising from traveling wave solutions of PDEs

Campbell, S. L., & Marszalek, W. (1997, September 15). *JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, Vol. 82, pp. 41–58.

author keywords: differential algebraic equation; DAE; traveling waves; equilibria; magnetohydrodynamics

TL;DR:
The advantages and implications of using DAEs for the study of traveling waves as well as a specific type of traveling wave that connects equilibria is examined.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1997 journal article

Jacobian reuse in explicit integrators for higher index DAEs

*APPLIED NUMERICAL MATHEMATICS*, *25*(4), 391–412.

author keywords: differential algebraic equation; DAE; numerical methods

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1997 conference paper

Mixed symbolic-numerical computations with general DAEs

*Proceedings of the Symposium on Differential-Algebraic Equations: Algebraic and Numerical Aspects*, 23–34.

Event: Symposium on Differential Algebraic Equations at Grenoble, France on May 26-28, 1997

Source: NC State University Libraries

Added: October 28, 2021

1997 journal article

Observer design for linear time varying descriptor systems

*Proceedings of the Control Industrial Systems*, *1*, 507–512.

Source: NC State University Libraries

Added: October 28, 2021

1997 journal article

The effects of computational delay in descriptor-based trajectory tracking control

*INTERNATIONAL JOURNAL OF CONTROL*, *67*(2), 251–273.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: August 6, 2018

1996 conference paper

A mixed symbolic-numeric software environment

*Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design*. Presented at the Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

Event: Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1996 chapter

Automatic differentiation and implicit differential equations

In C. B. B. Berz, G. Corliss, & A. Griewank (Eds.), *Computational differentiation: Techniques, applications, and tools*. Philadelphia: SIAM.

Ed(s): C. B. Berz, . G. Corliss & A. Griewank

Source: NC State University Libraries

Added: August 6, 2018

1996 conference paper

Consistent initial conditions for unstructured higher index DAEs: A computational study

*Proceedings of Computational Engineering in Systems Applications*, 416–421. Lille, France.

Source: NC State University Libraries

Added: October 28, 2021

1996 journal article

Constraint Preserving Integrators for Unstructured Higher Index DAEs

*Zeitschrift Fuer Angewandte Mathematik Und Mechanik (ZAMM)*, 83–86.

Source: NC State University Libraries

Added: November 6, 2021

1996 journal article

Convergence Estimates for Solution of Integral Equations with GMRES

*Journal of Integral Equations and Applications*, *8*(1), 19–34.

Contributors: ^{*} , I. Ipsen, C. Kelley^{*} , C. Meyer & Z. Xue

Sources: Crossref, NC State University Libraries, ORCID

Added: July 20, 2019

1996 conference paper

Descriptor predictive control: tracking controllers for a riderless bicycle

*Proceedings of Computational Engineering in Systems Applications*, 292–297. Lille, France.

Source: NC State University Libraries

Added: October 28, 2021

1996 journal article

GMRES and the minimal polynomial

*BIT Numerical Mathematics*, *36*(4), 664–675.

author keywords: GMRES; superlinear convergence; minimal polynomial; eigenvalue index

TL;DR:
A qualitative model for the convergence behaviour of the Generalised Minimal Residual (GMRES) method for solving nonsingular systems of linear equationsAx =b in finite and infinite dimensional spaces and bounds are provided that explain the convergence of GMRES.
(via Semantic Scholar)

Sources: Web Of Science, NC State University Libraries, Crossref

Added: July 20, 2019

1996 conference paper

Nonlinear observer design using implicit system descriptions

In S. L. C. Wissel, R. Nikoukhah, & F. Delebecque (Eds.), *Proceedings of Computational Engineering in Systems Applications* (pp. 404–409). Lille, France.

Ed(s): S. Wissel, R. Nikoukhah & F. Delebecque

Source: NC State University Libraries

Added: October 28, 2021

1996 journal article

ODE/DAE Integrators and MOL Problems

*Zeitschrift Fuer Angewandte Mathematik Und Mechanik (ZAMM)*, 251–254.

Source: NC State University Libraries

Added: July 11, 2019

1996 conference paper

Pencil algorithms and observer design

*Proceedings of the 1996 IEEE International Symposium on Computer-Aided Control System Design (CACSD)*, 83–88. New York: Institute of Electrical and Electronics Engineers.

Event: IEEE Symposium on Computer-Aided Control System Design at Dearborn, Michigan on September 15-18, 1996

Source: NC State University Libraries

Added: November 6, 2021

1995 journal article

Constraint preserving integrators for general nonlinear higher index DAEs

*Numerische Mathematik*, *69*(4), 383–399.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1995 journal article

High-Index Differential Algebraic Equations

*Mechanics of Structures and Machines*, *23*(2), 199–222.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1995 journal article

Linearization of DAEs along trajectories

*ZAMP Zeitschrift f�r Angewandte Mathematik Und Physik*, *46*(1), 70–84.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1995 conference paper

Maneuver planning and robust path tracking for mobile robotic nonholonomic systems

*Proceedings of the European Control Conference*, 3080–3085.

Event: European Control Conference at Rome, Italy on September 5-8, 1995

Source: NC State University Libraries

Added: November 6, 2021

1995 journal article

Nonregular 2D descriptor delay systems

*IMA Journal of Mathematical Control and Information*, *12*(1), 57–67.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1995 journal article

Numerically Generated Path Stabilizing Controllers: Use of Preliminary Feedback

*Kybernetika*, *31*(6), 657–668.

Source: NC State University Libraries

Added: November 6, 2021

1995 journal article

Solvability of General Differential Algebraic Equations

*SIAM Journal on Scientific Computing*, *16*(2), 257–270.

author keywords: LEAST SQUARES; DIFFERENTIAL ALGEBRAIC EQUATIONS; SOLVABILITY; COMPLETIONS; NUMERICAL METHODS

TL;DR:
In this paper the computational verification of solvability is investigated and an example from robotics where classical graph theoretical approaches give an incorrect answer is worked to illustrate the usefulness of the sufficient condition and the computational approach.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1995 conference paper

The geometry of square invertible linear systems, matrix pencils, and predictive control

In A. Isidori, S. Bittanti, E. Mosca, A. De Luca, M. D. Di Benedetto, & G. Oriolo (Eds.), *Proceedings of the third European Control Conference (ECC 95)* (pp. 2962–2967).

Ed(s): A. Isidori, S. Bittanti, E. Mosca, A. De Luca, M. Di Benedetto & G. Oriolo

Event: European Control Conference at Rome, Italy on September 5-8, 1995

Source: NC State University Libraries

Added: November 16, 2021

1995 journal article

The index of general nonlinear DAEs

*Numerische Mathematik*, *72*(2), 173–196.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1994 conference paper

A Coordinate Free Approach for Constraint Preserving Higher Index DAE Integrators

*Proc. 94 IMACS World Congress on Scientific Computation*, 65–68.

Source: NC State University Libraries

Added: September 11, 2019

1994 conference paper

Computational speedup for general nonlinear higher index DAE integrators

*IMACS '94 : proceedings of the 14th IMACS World congress on computation and applied mathematics*, 69–73. Atlanta, Georgia: Georgia Institute of Technology.

Event: 14th IMACS World congress on computation and applied mathematics at Atlanta, Georgia

Source: NC State University Libraries

Added: November 16, 2021

1994 conference paper

DAE Approximations of PDE Modeled Control Problems

*Proceedings of the 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation*, 407–414.

Event: 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation at Crete, Greece on June 19-21, 1994

Source: NC State University Libraries

Added: November 16, 2021

1994 journal article

Explicit formulae for completions of linear time varying singular systems of differential equations

*Circuits, Systems, and Signal Processing*, *13*(2-3), 185–199.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1994 journal article

Numerical Methods for Unstructured Higher Index DAEs

*Annals of Numerical Mathematics*, *1*, 265–278.

Source: NC State University Libraries

Added: November 16, 2021

1994 conference paper

Numerically generated path stabilizing controllers. I. Theoretical concerns

*Proceedings of 1994 American Control Conference - ACC '94*. Presented at the 1994 American Control Conference - ACC '94.

Event: 1994 American Control Conference - ACC '94

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1994 conference paper

On a new predictive control strategy: application to a flexible-joint robot

*Proceedings of 1994 33rd IEEE Conference on Decision and Control*. Presented at the 1994 33rd IEEE Conference on Decision and Control.

Event: 1994 33rd IEEE Conference on Decision and Control

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1994 journal article

Progress on a general numerical method for nonlinear higher index DAEs II

*Circuits, Systems, and Signal Processing*, *13*(2-3), 123–138.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1994 journal article

Utilization of automatic differentiation in control algorithms

*IEEE Transactions on Automatic Control*, *39*(5), 1047–1052.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1993 journal article

Least squares completions for nonlinear differential algebraic equations

*Numerische Mathematik*, *65*(1), 77–94.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1992 conference paper

A survey of time varying and nonlinear descriptor control systems

*Proceedings 1992 International Symposium on Implicit & Nonlinear Systems, Automation and Robotics*, 356–363. Dallas.

Event: 1992 International Symposium on Implicit & Nonlinear Systems, Automation and Robotics at Arlington, Texas

Source: NC State University Libraries

Added: November 16, 2021

1992 journal article

Uniqueness of completions for linear time varying differential algebraic equations

*Linear Algebra and Its Applications*, *161*, 55–67.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1991 conference paper

2-D (differential-delay) implicit systems

*IMACS '91 : proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics : July 22-26, 1991, Trinity College, Dublin, Ireland*, 1828–1829. Dublin: Criterion Press.

Event: International Association for Mathematics and Computers in Simulation World Congress on Computation and Applied Mathematics at Dublin, Ireland on July 22-26, 1991

Source: NC State University Libraries

Added: November 24, 2021

1991 journal article

Comments on 2-D descriptor systems

*Automatica*, *27*(1), 189–192.

author keywords: BOUNDARY-VALUE PROBLEM; DIFFERENCE EQUATIONS; DISCRETE SYSTEMS; MULTIDIMENSIONAL SYSTEMS; LINEAR SYSTEMS

TL;DR:
This paper discusses general 2-D descriptor systems of the form Ex i +1, j +1 and shows that these systems include several types of behavior not discussed elsewhere in the literature.
(via Semantic Scholar)

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1991 journal article

Differentiation of Constraints in Differential-Algebraic Equations∗

*Mechanics of Structures and Machines*, *19*(1), 19–39.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1991 journal article

Duality, observability, and controllability for linear time-varying descriptor systems

*Circuits Systems and Signal Processing*, *10*(4), 455–470.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1991 conference paper

Least squares completions for nonlinear index three Hessenberg DAEs

*IMACS '91 : proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics : July 22-26, 1991, Trinity College, Dublin, Ireland*, 1145–1148. Dublin: Criterion.

Source: NC State University Libraries

Added: November 24, 2021

1991 journal article

Observability of Linear Time-Varying Descriptor Systems

*SIAM Journal on Matrix Analysis and Applications*, *12*(3), 484–496.

author keywords: DESCRIPTOR; SINGULAR; OBSERVABILITY; EXTERNAL BEHAVIOR

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1990 journal article

Convergence of BDF approximations for nonsolvable differential algebraic equations

*Applied Numerical Mathematics*, *6*(3), 153–158.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1990 conference paper

Descriptor systems in the 1990s

*29th IEEE Conference on Decision and Control*. Presented at the 29th IEEE Conference on Decision and Control.

Event: 29th IEEE Conference on Decision and Control

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1990 journal article

Solving Singular Systems Using Orthogonal Functions

*IEE Proceedings D Control Theory and Applications*, *137*(4), 222.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1989 journal article

A computational method for general higher index nonlinear singular systems of differential equations

*IMACS Transactions on Scientific Computing*, *1*(2), 555–560.

Source: NC State University Libraries

Added: November 24, 2021

1989 journal article

Comments on functional reproducibility of time-varying input-output systems

*IEEE Transactions on Automatic Control*, *34*(8), 922–924.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1989 journal article

Distributional convergence of BDF approximations to solutions of descriptor systems

*Circuits, Systems, and Signal Processing*, *8*(3), 261–265.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1989 conference paper

The Numerical Solution of Singular Systems Arising in Control Problems

*1989 American Control Conference*. Presented at the 1989 American Control Conference.

Event: 1989 American Control Conference

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1988 conference paper

A general method for nonlinear descriptor systems: an example from robotic path control

*Proceedings of the 27th IEEE Conference on Decision and Control*. Presented at the 27th IEEE Conference on Decision and Control.

Event: 27th IEEE Conference on Decision and Control

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1988 chapter

Bilinear nonlinear descriptor control systems in Linear Algebra in Signals, Systems, and Control

In B. N. Datta (Ed.), *Linear algebra in signals, systems, and control : proceedings of the Conference on Linear Algebra in Signals, Systems, and Control, Boston, Massachusetts, August 12-14, 1986* (pp. 439–511). Philadelphia, PA: Society for Industrial and Applied Mathematics.

Ed(s): B. Datta

Event: Conference on Linear Algebra in Signals, Systems, and Control at Boston, Massachusetts on August 12-14, 1986

Source: NC State University Libraries

Added: November 24, 2021

1988 journal article

Control problem structure and the numerical solution of linear singular systems

*Mathematics of Control, Signals, and Systems*, *1*(1), 73–87.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1988 chapter

Singular control problem structure and the convergence of backward differentiation formulas

In C. I. Brynes, C. F. Martin, & R. E. Saeks (Eds.), *Linear Circuits, Systems, and Signal Processing* (pp. 19–26). North Holland.

Ed(s): C. Brynes, C. Martin & R. Saeks

Source: NC State University Libraries

Added: July 11, 2019

1987 journal article

A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations

*SIAM Journal on Mathematical Analysis*, *18*(4), 1101–1115.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1987 journal article

Comment on controlling generalized state-space (descriptor) systems

*International Journal of Control*, *46*(6), 2229–2230.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1987 report

Derivative Arrays, Geometric Control Theory, and Realizations of Linear Descriptor Systems.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1987 article

Distributional Convergence of BDF (Backward Differentiation Formulas) Approximations to Solutions of Descriptor Systems.

*Defense Technical Information Center*.

Source: ORCID

Added: August 18, 2019

1987 conference paper

Local realizations of time varying descriptor systems

*26th IEEE Conference on Decision and Control*. Presented at the 26th IEEE Conference on Decision and Control.

Event: 26th IEEE Conference on Decision and Control

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1987 chapter

Operator methods and singular control problems

In S. J. Lee (Ed.), *Operator Methods for Optimal Control Problems* (pp. 57–66). New York: Marcel Dekker.

Ed(s): S. Lee

Source: NC State University Libraries

Added: November 24, 2021

1987 report

Solving Singular Systems Using Orthogonal Functions.

In *Defense Technical Information Center*.

Source: ORCID

Added: August 18, 2019

1987 article

The Numerical and Analytic Analysis of Implicit Differential Equations and Their Application to Control and Circuit Problems.

*Defense Technical Information Center*.

Source: ORCID

Added: August 18, 2019

1986 chapter

Consistent initial conditions for linear time varying singular systems

In C. I. Byrnes & A. Lindquist (Eds.), *Frequency Domain and State Space Methods for Linear Systems* (pp. 313–318). Amsterdam: Elsevier.

Ed(s): C. Byrnes & A. Lindquist

Event: International Symposium on the Mathematical Theory of Networks and Systems at Royal Institute of Technology, Stockholm, Sweden

Source: NC State University Libraries

Added: November 30, 2021

1986 journal article

Countability of Sets

*The American Mathematical Monthly*, *93*(6), 480–481.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1986 journal article

Index two linear time varying singular systems of differential equations

*Circuits, Systems, and Signal Processing*, *5*(1), 97–107.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1986 report

Progress Report Number 2 on Contract AFOSR-84-0240.

Source: ORCID

Added: August 18, 2019

1985 journal article

Bounded solutions of discrete singular systems on infinite time intervals

*IEEE Transactions on Automatic Control*, *30*(2), 165–168.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1985 other

Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1985 journal article

The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations

*SIAM Journal on Scientific and Statistical Computing*, *6*(2), 334–348.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1984 conference paper

Explicit methods for solving singular differential equation systems

*Proceedings of the 27th Midwest Symposium on Circuits and Systems*, 696–699.

Event: Midwest Symposium on Circuits and Systems

Source: NC State University Libraries

Added: November 30, 2021

1984 conference paper

Non-BDF methods for the solution of time varying implicit differential equations

*Proceedings of the 1984 American Control Conference*, *21*, 1315–1318.

Event: American Control Conference

Sources: NC State University Libraries, NC State University Libraries

Added: November 30, 2021

1984 conference paper

Nonlinear singular systems and contraction mappings

*Proceedings of the 1984 American Control Conference*, *21*, 1513–1519.

Event: American Control Conference

Sources: NC State University Libraries, NC State University Libraries

Added: November 30, 2021

1984 conference paper

Nonlinear time-varying generalized state-space systems: An overview

*The 23rd IEEE Conference on Decision and Control*. Presented at the The 23rd IEEE Conference on Decision and Control.

Event: The 23rd IEEE Conference on Decision and Control

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1984 journal article

On using orthogonal functions with singular systems

*IEE Proceedings D-Control Theory & Applications*, *131*(6), 267–268.

Source: NC State University Libraries

Added: December 22, 2021

1984 journal article

Regularizations of linear time varying singular systems

*Automatica*, *20*(3), 365–370.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1984 journal article

Review of polynomials and linear control systems, by Stephen Barnett

*Linear Algebra and Its Applications*, *61*, 289–290.

Source: ORCID

Added: August 18, 2019

1984 journal article

The numerical solution of differential algebraic equation systems

*All About Simulators*, *14*(1), 7–12.

Ed(s): V. Amico & A. Clymer

Source: NC State University Libraries

Added: November 30, 2021

1983 journal article

Canonical Forms and Solvable Singular Systems of Differential Equations

*SIAM Journal on Algebraic Discrete Methods*, *4*(4), 517–521.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1983 journal article

Consistent initial conditions for singular nonlinear systems

*Circuits, Systems, and Signal Processing*, *2*(1), 45–55.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1983 journal article

Index Two Linear Time-Varying Singular Systems of Differential Equations

*SIAM Journal on Algebraic Discrete Methods*, *4*(2), 237–243.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1983 journal article

Internal stability of two dimensional systems

*Linear and Multilinear Algebra*, *14*(4), 365–369.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1983 conference paper

Multiparameter singular systems: Nondissective approaches

*The 22nd IEEE Conference on Decision and Control*. Presented at the The 22nd IEEE Conference on Decision and Control.

Event: The 22nd IEEE Conference on Decision and Control

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1983 journal article

One canonical form for higher-index linear time-varying singular systems

*Circuits, Systems, and Signal Processing*, *2*(3), 311–326.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1983 chapter

Recent applications of generalized inverses

In *Recent Applications of Generalized Inverses* (pp. 1–11). Pitman.

Source: NC State University Libraries

Added: July 11, 2019

1983 journal article

The Drazln inverse and systems of second order linear differential equations

*Linear and Multilinear Algebra*, *14*(2), 195–198.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1982 journal article

A second order singular linear system arising in electric power systems analysis†

*International Journal of Systems Science*, *13*(1), 101–108.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1982 journal article

Nontrivial isometries on sp(α)

*International Journal of Mathematics and Mathematical Sciences*, *5*(2), 257–261.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1982 journal article

On positive controllers and linear quadratic optimal control problems†

*International Journal of Control*, *36*(5), 885–888.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1981 journal article

A more singular singularly perturbed linear system

*IEEE Transactions on Automatic Control*, *26*(2), 507–510.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1981 journal article

A nonlinear system with singular vector field near equilibria

*Applicable Analysis*, *12*(1), 57–71.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1981 journal article

A procedure for analyzing a class of nonlinear semistate equations that arise in circuit and control problems

*IEEE Transactions on Circuits and Systems*, *28*(3), 256–261.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1981 journal article

Computing nonnegative rank factorizations

*Linear Algebra and Its Applications*, *35*, 175–182.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1981 journal article

Convergent regular splittings for nonnegative matrices

*Linear and Multilinear Algebra*, *10*(1), 63–73.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1981 conference paper

Numerical procedures for analyzing nonlinear semi-state equations

*Proceedings Fifth International Symposium on the Mathematical Theory of Networks and Systems*, 22–27.

Event: Fifth International Symposium on the Mathematical Theory of Networks and Systems

Source: NC State University Libraries

Added: December 22, 2021

1981 journal article

On an assumption guaranteeing boundary layer convergence of singularly perturbed systems

*Automatica*, *17*(4), 645–646.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1981 journal article

Order and the index of singular time-invariant linar systems

*Systems & Control Letters*, *1*(2), 119–122.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1980 journal article

Continuity of The Drazin inverse

*Linear and Multilinear Algebra*, *8*(3), 265–268.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1980 journal article

Linear operators for which T*T and TT* commute III

*Pacific Journal of Mathematics*, *91*(1), 39–45.

Source: NC State University Libraries

Added: December 22, 2021

1980 journal article

Operators on Banach spaces with complemented ranges

*Acta Mathematica Academiae Scientiarum Hungaricae*, *35*(1-2), 123–128.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1980 journal article

Singular linear systems of differential equations with delays

*Applicable Analysis*, *11*(2), 129–136.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1979 conference paper

A functional analytic approach to autonomous linear singular perturbation problems

*Proceedings of the Seventeenth Annual Allerton Conference on Communication, Control, and Computing*, 445–463.

Event: Annual Allerton Conference on Communication, Control, and Computing

Source: NC State University Libraries

Added: December 22, 2021

1979 journal article

Isometries on L^p Spaces and Copies of L^p shifts

*Proceedings of the American Mathematical Society*, *77*(2), 198–200.

Sources: NC State University Libraries, NC State University Libraries

Added: December 22, 2021

1979 chapter

Isometries, projections and Wold decompositions

In I. Erdelyi (Ed.), *Operator Theory and Functional Analysis* (pp. 84–114). San Francisco, California: Pitman Publishing Company.

Ed(s): I. Erdelyi

Source: NC State University Libraries

Added: December 22, 2021

1979 journal article

Limit behavior of solutions of singular difference equations

*Linear Algebra and Its Applications*, *23*, 167–178.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1979 journal article

Nonregular Singular Dynamic Leontief Systems

*Econometrica*, *47*(6), 1565.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1979 journal article

On a singularly perturbed autonomous linear control problem

*IEEE Transactions on Automatic Control*, *24*(1), 115–117.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1979 journal article

Singular Perturbation of Autonomous Linear Systems

*SIAM Journal on Mathematical Analysis*, *10*(3), 542–551.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1979 journal article

The stable solutions of quadratic matrix equations

*Proceedings of the American Mathematical Society*, *74*(1), 19–23.

Source: NC State University Libraries

Added: December 22, 2021

1978 journal article

Linear operators for which T∗T and T + T∗ commute. III

*Pacific Journal of Mathematics*, *76*(1), 17–19.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1978 journal article

On k-quasihyponormal operators

*Mathematica Japonica*, *23*, 185–189.

Source: NC State University Libraries

Added: December 22, 2021

1978 journal article

On the limit of a product of matrix exponentials

*Linear and Multilinear Algebra*, *6*(1), 55–59.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1978 journal article

Optimal control of discrete linear processes with quadratic cost

*International Journal of Systems Science*, *9*(8), 841–847.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1978 journal article

Singular perturbation of autonomous linear systems III

*Houston Journal of Mathematics*, *44*, 527–539.

Source: NC State University Libraries

Added: December 22, 2021

1978 journal article

Singular perturbation of autonomous linear systems, II

*Journal of Differential Equations*, *29*(3), 362–373.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1978 journal article

Weak Drazin inverses

*Linear Algebra and Its Applications*, *20*(2), 167–178.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1977 journal article

Linear Systems of Differential Equations with Singular Coefficients

*SIAM Journal on Mathematical Analysis*, *8*(6), 1057–1066.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1977 journal article

Linear operators for which T*T and T+T* commute II

*Transactions of the American Mathematical Society*, *226*, 305–319.

Source: NC State University Libraries

Added: December 22, 2021

1977 journal article

On asymptotic properties of several classes of operators

*Proceedings of the American Mathematical Society*, *66*(1), 79–84.

Source: NC State University Libraries

Added: December 22, 2021

1977 journal article

On continuity of the Moore-Penrose and Drazin generalized inverses

*Linear Algebra and Its Applications*, *18*(1), 53–57.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1976 journal article

Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients

*SIAM Journal on Applied Mathematics*, *31*(3), 411–425.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1976 journal article

Differentiation of the Drazin Inverse

*SIAM Journal on Applied Mathematics*, *30*(4), 703–707.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1976 journal article

Optimal Control of Autonomous Linear Processes with Singular Matrices in the Quadratic Cost Functional

*SIAM Journal on Control and Optimization*, *14*(6), 1092–1106.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1976 conference paper

Optimal control of autonomous linear processes with singular matrices in the quadratic cost functional II

*1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes*. Presented at the 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

Event: 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1976 journal article

Spectral properties of linear operators for which T*T and T + T* commute

*Proceedings of the American Mathematical Society*, *60*(1), 197–202.

Source: NC State University Libraries

Added: December 22, 2021

1976 journal article

The Drazin Inverse of an Infinite Matrix

*SIAM Journal on Applied Mathematics*, *31*(3), 492–503.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

1975 journal article

Continuity properties of the Drazin pseudoinverse

*Linear Algebra and Its Applications*, *10*(1), 77–83.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1975 journal article

EP Operators and Generalized Inverses

*Canadian Mathematical Bulletin*, *18*(3), 327–333.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1975 journal article

Linear operators for which T∗T and T + T∗ commute

*Pacific Journal of Mathematics*, *61*(1), 53–57.

Source: Crossref

Added: October 25, 2020

1975 journal article

Operator-valued inner functions analytic on the closed disc. II

*Pacific Journal of Mathematics*, *60*(2), 37–49.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1975 journal article

Subnormal operators with nontrivial quasinormal extensions

*Acta Scientiarum Mathematicarum*, *37*(3-4), 191–193.

Source: NC State University Libraries

Added: December 22, 2021

1974 journal article

Commutation properties of the coefficient matrix in the differential equation of an inner function

*Proceedings of the American Mathematical Society*, *42*(2), 507–512.

Source: NC State University Libraries

Added: December 22, 2021

1974 journal article

Linear operators for which T∗T and TT∗ commute. II

*Pacific Journal of Mathematics*, *53*(2), 355–361.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1972 journal article

Inner functions analytic at a point

*Illinois Journal of Mathematics*, *16*(4), 651–652.

Sources: Crossref, NC State University Libraries

Added: October 25, 2020

1972 journal article

Linear operators for which T*T and TT* commute

*Proc. American Mathematical Society*, *34*, 177–180.

Source: NC State University Libraries

Added: July 11, 2019

1972 journal article

Operator-valued inner functions analytic on the closed disc

*Pacific Journal of Mathematics*, *41*(1), 57–62.

Sources: ORCID, Crossref, NC State University Libraries

Added: August 18, 2019

1972 journal article

The exponential representation of operator valued, differentiable inner functions

*Journal of Differential Equations*, *12*(3), 455–461.

Sources: Crossref, NC State University Libraries

Added: August 31, 2020

Updated: August 18th, 2019 17:08

1972 - present

Updated: August 18th, 2019 17:10

1967 - 1972

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