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Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor. QUARTERLY OF APPLIED MATHEMATICS, 60(4), 631–656. https://doi.org/10.1090/qam/1939004 Banks, H. T., Rosario, R. C. H., & Tran, H. T. (2002). Proper orthogonal decomposition-based control of transverse beam vibrations: Experimental implementation. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 10(5), 717–726. https://doi.org/10.1109/TCST.2002.801793 Tran, H. T., Yoh, J., Nguyen, T. M., Johnson, D. M., & Lee, C. H. (2002). RFI modeling of satellite communications. MILCOM 2000 Proceedings. 21st Century Military Communications. Architectures and Technologies for Information Superiority (Cat. No.00CH37155). Presented at the IEEE Military Communications Conference (MILCOM'00). https://doi.org/10.1109/milcom.2000.904950 Banks, H. T., Beeler, S. C., Kepler, G. M., & Tran, H. T. (2002). Reduced order modeling and control of thin film growth in an HPCVD reactor. SIAM JOURNAL ON APPLIED MATHEMATICS, 62(4), 1251–1280. https://doi.org/10.1137/S0036139901383280 Nguyen, T., Nguyen, H., Tran, H., Jocic, L., & Lewis, B. (2002). Survey on Diversity and Combining Techniques. 20th AIAA International Communication Satellite Systems Conference and Exhibit. Presented at the 20th AIAA International Communication Satellite Systems Conference and Exhibit. https://doi.org/10.2514/6.2002-1858 Tran, H. (2002). The Human Respiratory Control System: Models, Applications, and Analysis. VACETS VTIC 2002 : George Mason University, May 10-11, 2002 : proceedings. Presented at the The Fourth Vietnamese Association for Computing, Engineering Technology, and Science. International Conference (VTIC 2002), George Mason University, Fairfax, Virginia, USA. Ives, L., Bui, T., Vogler, W., Remacle, J.-F., Shephard, M. S., Beall, M. W., … Tran, H. T. (2002). User-friendly, economical, 3D charged particle code with adaptive meshing. IEEE Conference Record - Abstracts. PPPS-2001 Pulsed Power Plasma Science 2001. 28th IEEE International Conference on Plasma Science and 13th IEEE International Pulsed Power Conference (Cat. No.01CH37255). Presented at the IEEE Conference Record - Abstracts. PPPS-2001 Pulsed Power Plasma Science 2001. 28th IEEE International Conference on Plasma Science and 13th IEEE International Pulsed Power Conference. https://doi.org/10.1109/ppps.2001.960847 Tran, H., & Lee, C. H. (2001). Chemical Vapor Deposition Processes: Reduced-order Modeling. In K. H. Jürgen Buschow, M. C. Flemings, E. J. Kramer, P. Veyssière, R. W. Cahn, B. Ilschner, & S. Mahajan (Eds.), Encyclopedia of Materials: Science and Technology (2nd ed., pp. 1183–1187). https://doi.org/10.1016/B0-08-043152-6/00221-7 Kepler, G. M., Tran, H. T., & Banks, H. T. (2001). Compensator control for chemical vapor deposition film growth using reduced-order design models. IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, 14(3), 231–241. https://doi.org/10.1109/66.939820 Banks, H. T., Beeler, S. C., Kepler, G. M., & Tran, H. T. (2001). Feedback control of thin film growth in an HPCVD reactor via reduced order models. Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228). Presented at the 40th Conference on Decision and Control. https://doi.org/10.1109/cdc.2001.981123 Ly, H. V., & Tran, H. T. (2001). Modeling and control of physical processes using proper orthogonal decomposition. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 223–236. https://doi.org/10.1016/S0895-7177(00)00240-5 Cole, C. E., Tran, H. T., & Schlosser, P. M. (2001). Physiologically based pharmacokinetic modeling of benzene metabolism in mice through extrapolation from in vitro to in vivo. JOURNAL OF TOXICOLOGY AND ENVIRONMENTAL HEALTH-PART A, 62(6), 439–465. https://doi.org/10.1080/00984100150501178 Banks, H. T., & Tran, H. T. (2001). Reduced Order Based Compensator Control of Thin Film Growth in a CVD Reactor. In Optimal Control of Complex Structures (pp. 1–17). https://doi.org/10.1007/978-3-0348-8148-7_1 Dietz, N., Beeler, S. C., Schmidt, J. W., & Tran, H. T. (2001). Surface reaction kinetics of Ga1-xInxP growth during pulsed chemical beam epitaxy. APPLIED SURFACE SCIENCE, 178(1-4), 63–74. https://doi.org/10.1016/S0169-4332(01)00302-6 Beeler, S. C., Tran, H. T., & Banks, H. T. (2000). Feedback control methodologies for nonlinear systems. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 107(1), 1–33. https://doi.org/10.1023/A:1004607114958 Gremaud, P. A., Li, Z., Smith, R. C., & Tran, H. T. (Eds.). (2000). Industrial Mathematics: The 1998 CRSC Workshop. Philadelphia, PA: SIAM Publications. Batzel, J. J., & Tran, H. T. (2000). [Review of Modeling instability in the control system for human respiration: applications to infant non-REM sleep]. APPLIED MATHEMATICS AND COMPUTATION, 110(1), 1–51. https://doi.org/10.1016/s0096-3003(99)00112-5 Kepler, G. M., Tran, H. T., & Banks, H. T. (2000). Reduced order model compensator control of species transport in a CVD reactor. OPTIMAL CONTROL APPLICATIONS & METHODS, 21(4), 143–160. https://doi.org/10.1002/1099-1514(200007/08)21:4<143::AID-OCA671>3.0.CO;2-Y Batzel, J. J., & Tran, H. T. (2000). Stability of the human respiratory control system I. Analysis of a two-dimensional delay state-space model. JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 45–79. https://doi.org/10.1007/s002850000044 Batzel, J. J., & Tran, H. T. (2000). Stability of the human respiratory control system II. Analysis of a three-dimensional delay state-space model. JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 80–102. https://doi.org/10.1007/s002850000045 Kottler, N. E., Tran, H. T., & Wessell, D. E. (1999). A complete steady state model of solute and water transport in the kidney. MATHEMATICAL AND COMPUTER MODELLING, 29(6), 63–82. https://doi.org/10.1016/S0895-7177(99)00055-2 Beeler, S., Tran, H. T., & Dietz, N. (1999). Representation of GaP formation by a reduced order surface kinetics model using p-polarized reflectance measurements. JOURNAL OF APPLIED PHYSICS, 86(1), 674–682. https://doi.org/10.1063/1.370783 Banks, H. T., Musante, C. J., & Tran, H. T. (1998). A dispersion model for the hepatic uptake and elimination of 2,3,7,8-tetrachlorodibenzo-p-dioxin. MATHEMATICAL AND COMPUTER MODELLING, 28(1), 9–29. https://doi.org/10.1016/S0895-7177(98)00077-6 Bachmann, K. J., Sukidi, N., Hopfner, C., Harris, C., Dietz, N., Tran, H. T., … Banks, H. T. (1998). Real-time monitoring of steady-state pulsed chemical beam epitaxy by p-polarized reflectance. JOURNAL OF CRYSTAL GROWTH, 183(3), 323–337. https://doi.org/10.1016/s0022-0248(97)00410-7 Bachmann, K. J., Hopfner, C., Sukidi, N., Miller, A. E., Harris, C. J., Aspnes, D. E., … Banks, H. T. (1997). Molecular layer epitaxy by real-time optical process monitoring. Applied Surface Science, 112(1997 Mar.), 38–47. https://doi.org/10.1016/S0169-4332(96)00975-0 Fiechter, S., Castleberry, R. H., Dietz, N., Bachmann, K. J., Banks, H. T., Ito, K., … Tran, H. (1995). High Pressure Vapor Transport of ZnGeP 2 : I, Parameter Evaluation. In R. A. Schiffman (Ed.), 7th International Symposium on Experimental Methods for Microgravity Materials Science : proceedings of the Seventh International Conference on Experimental Methods for Microgravity Materials Science (pp. 57–66). Warrendale, PA: Minerals, Metals and Materials Society, Scroggs, J. S., Banks, H. T., Ito, K., Ravindran, S., Tran, H. T., Bachmann, K. J., … Dietz, N. (1995). High Pressure Vapor Transport of ZnGeP 2 : II, Three-Dimensional Simulation of Gas-dynamics under Microgravity Conditions. In R. Schiffman (Ed.), 7th International Symposium on Experimental Methods for Microgravity Materials Science : proceedings of the Seventh International Conference on Experimental Methods for Microgravity Materials Science (pp. 67–72). Warrendale, PA: Minerals, Metals and Materials Society, Batzel, J. J., & Tran, H. T. (1995). Human Respiratory Control System and Periodic Breathing. SES' 95 : Society of Engineering Science 32nd annual technical meeting, October 29 - November 2, 1995, New Orleans, LA, 623–624. College Station, Texas. Ito, K., Tran, H. T., & Scroggs, J. S. (1995). Mathematical Issues in Optimal Design of a Vapor Transport Reactor. In M. D. Gunzburger (Ed.), Flow Control (pp. 197–218). https://doi.org/10.1007/978-1-4612-2526-3_9 Ito, K., Scroggs, J. S., & Tran, H. T. (1995). Optimal Control of Thermally Coupled Navier Stokes Equations. In Optimal Design and Control (pp. 199–214). https://doi.org/10.1007/978-1-4612-0839-6_13 Banks, H. T., Ito, K., Scroggs, J. S., Tran, H. T., Bachmann, K. J., Castleberry, H., & Fiechter, S. (1994). Gasdynamics and Transport in a High-Pressure Reactor Under Microgravity Conditions. Proceedings of the 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation (MED '94), 427–433. New York: IEEE Publications. Fiechter, S., Castleberry, R. H., Wood, G., Bachmann, K. J., Tran, H. T., Ito, K., & Scroggs, J. S. (1994). High Pressure Vapour Transport of Binary and Ternary Compound Semiconductors. In R. A. Schiffman & J. B. Andrews (Eds.), 6th International Symposium on Experimental Methods for Microgravity Materials Science : proceedings of the Sixth International Symposium on Experimental Methods for Microgravity Materials Science (pp. 93–100). Warrendale, PA: Minerals, Metals and Materials Society. Manitius, A., & Tran, H. T. (1994). Numerical Approximations for Hereditary Systems with Input and Output Delays: Convergence Results and Convergence Rates. SIAM Journal on Control and Optimization, 32(5), 1332–1363. https://doi.org/10.1137/s0363012989161699 Banks, H. T., Tran, H. T., & Woodward, D. E. (1993). Estimation of Variable Cefficients in the Fokker–Planck Quations Using Moving Node Finite Elements. SIAM Journal on Numerical Analysis, 30(6), 1574–1602. https://doi.org/10.1137/0730082 Bachmann, K. J., Xing, G.-C., Scroggs, J. S., Tran, H. T., Ito, K., Castleberry, H., & Wood, G. (1993). Heteroepitaxy of Wide Bandgap Ternary Semiconductors. Japanese Journal of Applied Physics, 32(S3), 133. https://doi.org/10.7567/jjaps.32s3.133 Tran, H., Scroggs, J. S., & Bachmann, K. J. (1993). Modeling of Flow Dynamics and its Impact on the Optimal Reactor Design Problem. Proceeding of 1992 AMS-IMS-SIAM Summer Research Conference on Control and Identification of Partial Differential Equations, 1–13. Heinkenschloss, M., Kelley, C. T., & Tran, H. T. (1992). Fast Algorithms for Nonsmooth Compact Fixed-Point Problems. SIAM Journal on Numerical Analysis, 29(6), 1769–1792. https://doi.org/10.1137/0729099 Tran, H., & Scroggs, J. S. (1992). Optimal Control of Fluid Flow in a Vertical Chemical Vapor Deposition Reactor. Proceedings of the 31st IEEE Conference on Decision and Control : December 16-18, 1992, Westin La Paloma, Tucson, Arizona, USA, 3405–3409. New York: IEEE Control Systems Society. Ito, K., Tran, H. T., & Manitius, A. (1991). A Fully-Discrete Spectral Method for Delay-Differential Equations. SIAM Journal on Numerical Analysis, 28(4), 1121–1140. https://doi.org/10.1137/0728060 Tran, H. T. (1991). Numerical Studies of the Linear Quadratic Control Problem for Retarded Systems with Delay in Control. In Computation and Control II (pp. 307–324). https://doi.org/10.1007/978-1-4612-0427-5_21 Manitius, A., & Tran, H. T. (1990). Finite dimensional approximations for functional differential equations with input and output delays. 29th IEEE Conference on Decision and Control. Presented at the 29th IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.1990.203893 Ito, K., & Tran, H. T. (1989). Linear Quadratic Optimal Control Problem for Linear Systems with Unbounded Input and Output Operators: Numerical Approximations.” In E. Kappel, K. Kunisch, & W. Schappacher (Eds.), Control and estimation of distributed parameter systems : 4th International Conference on Control of Distributed Parameter Systems, Vorau, July 10-16, 1988 (pp. 171–195). Basel: Birkhäuser Verlag. Tran, H., Michelson, S., Ito, K., & Leith, J. T. (1989). Stochastic Models of Subpopulation Emergence in Heterogeneous Tumors. In J. Robert & W. Midvidy (Eds.), Electrical and power systems : modelling and simulation. Basel: J.C. Balzer AG. Michelson, S., Ito, K., Tran, H., & Leith, J. (1989). Stochastic models for subpopulation emergence in heterogeneous tumors. Bulletin of Mathematical Biology, 51(6), 731–747. https://doi.org/10.1016/s0092-8240(89)80060-6 Ito, K., & Tran, H. T. (1988). Linear quadratic regulator problem for infinite dimensional linear systems with delays in control. Proceedings of the 27th IEEE Conference on Decision and Control, 2012–2017. https://doi.org/10.1109/cdc.1988.194687 Manitius, A., Tran, H., Payre, G., & Roy, R. (1987). Computation of Eigenvalues Associated with Functional Differential Equations. SIAM Journal on Scientific and Statistical Computing, 8(3), 222–247. https://doi.org/10.1137/0908032 Manitius, A., & Tran, H. (1986). Numerical simulation of a non-linear feedback controller for a wind tunnel model involving a time delay. Optimal Control Applications and Methods, 7(1), 19–39. https://doi.org/10.1002/oca.4660070103 Manitius, A., & Tran, H. (1985). Computation of closed-loop eigenvalues associated with the optimal regulator problem for functional differential equations. IEEE Transactions on Automatic Control, 30(12), 1245–1248. https://doi.org/10.1109/tac.1985.1103866 Tran, H., & Manitius, A. (1985). On the numerical approximations for linear functional differential equations with input and output delays. 1985 24th IEEE Conference on Decision and Control. Presented at the 1985 24th IEEE Conference on Decision and Control, Fort Lauderdale, FL. https://doi.org/10.1109/cdc.1985.268746 Manitius, A., & Tran, H. (1983). Computation of closed loop eigenvalues associated with the optimal regulator problem for functional differential equations. The 22nd IEEE Conference on Decision and Control. Presented at the The 22nd IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.1983.269791 Manitius, A., & Tran, H. (1983). Numerical Simulation of Linear and Nonlinear Feedback Controllers for a Wind Tunnel Model Involving a Time Delay.” In H. L. Weinert & R. C. Melville (Eds.), Proceedings of the Seventeenth Annual Conference on Information Sciences and Systems : papers presented March 23, 24, and 25, 1983. Baltimore, MD: Johns Hopkins University.