Works (7)
Updated: July 5th, 2023 15:58
2011 journal article
KARUSH-KUHN-TUCKER CONDITIONS FOR NONSMOOTH MATHEMATICAL PROGRAMMING PROBLEMS IN FUNCTION SPACES
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2133–2154.
author keywords: KKT conditions; nonsmooth optimization; necessary optimality
TL;DR:
Apply Lagrange multiplier rules for abstract optimization problems with mixed smooth and convex terms in the cost to minimum norm control problems, and a class of optimal control problems with distributed state constraints and nonsmooth cost.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
MINIMAL EFFORT PROBLEMS AND THEIR TREATMENT BY SEMISMOOTH NEWTON METHODS
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2083–2100.
author keywords: minimum effort control; Lagrange multiplier theory; semismooth Newton method
TL;DR:
Well-posedness and superlinear convergence of the semismooth Newton method are proved for linear control systems under a controllability condition and the applicability and feasibility of the proposed method are presented.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
Optimal control of parabolic variational inequalities
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 93(4), 329–360.
author keywords: Variational inequalities; Strong solutions; Weak solutions; Unbounded domain; Difference schemes; Optimal control
open access via doi.org (publisher)
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Semi-smooth Newton methods for the Signorini problem
APPLICATIONS OF MATHEMATICS, 53(5), 455–468.
author keywords: Signorini problem; variational inequality; semi-smooth Newton method; primal-dual active set strategy
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Optimal control of obstacle problems by H-1-obstacles
APPLIED MATHEMATICS AND OPTIMIZATION, 56(1), 1–17.
author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation
Source: Web Of Science
Added: August 6, 2018
2004 journal article
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 43(1), 357–376.
author keywords: primal-dual active set method; semismooth Newton method; optimal control; bilateral constraints
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Semi-smooth Newton methods for state-constrained optimal control problems
SYSTEMS & CONTROL LETTERS, 50(3), 221–228.
author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians
TL;DR:
Convergence of the regularized problems is proved and numerical tests confirm the theoretical results and demonstrate the efficiency of the proposed methodology.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
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