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An SQP trust region method for solving the discrete-time linear quadratic control problem

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International Journal of Applied Mathematics and Computer Science
Analysis and Control of Spatiotemporal Dynamic Systems (special section, pp. 245 - 326), Dariusz Uciński and Józef Korbicz (Eds.)

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Conn, A. R., Gould, N. I. M. and Toint, Ph.L. (2000). Trust-Region Methods, SIAM, Philadelphia, PA.10.1137/1.9780898719857Search in Google Scholar

Garcia, G., Pradin, B. and Zeng, F. (2001). Stabilization of discrete-time linear systems by static output feedback, IEEE Transactions on Automatic Control 46(12): 1954-1958.10.1109/9.975499Search in Google Scholar

Kočvara M., Leibfritz, F., Stingl, M. and Henrion, D. (2005). A nonlinear SDP algorithm for static output feedback problems in COMPlib, Proceedings of the 16th IFAC World Congress on Automatic Control, Prague, Czech Republic, (on CD-ROM).10.3182/20050703-6-CZ-1902.00832Search in Google Scholar

Lee, J.-W. and Khargonekar, P. P. (2007). Constrained infinitehorizon linear quadratic regulation of discrete-time systems, IEEE Transactions on Automatic Control 52(10): 1951-1958.10.1109/TAC.2007.906239Search in Google Scholar

Leibfritz, F. (2004). COMPlib: COnstraint Matrix-optimization Problem library—A collection of test examples for nonlinear semi-definite programs, control system design and related problems, Technical reporthttp://www.complib.de/Search in Google Scholar

Leibfritz, F. and Mostafa, E. M. E. (2002). An interior point constrained trust region method for a special class of nonlinear semidefinite programming problems, SIAM Journal on Optimization 12(4): 1048-1074.10.1137/S1052623400375865Search in Google Scholar

Leibfritz, F. and Mostafa, E. M. E. (2003). Trust region methods for solving the optimal output feedback design problem, International Journal of Control 76(5): 501-519.10.1080/0020717031000087653Search in Google Scholar

Mäkilä, P. M. and Toivonen, H. T. (1987). Computational methods for parametric LQ problems—A survey, IEEE Transactions on Automatic Control 32(8): 658-671.10.1109/TAC.1987.1104686Search in Google Scholar

Mostafa, E. M. E. (2005a). A trust region method for solving the decentralized static output feedback design problem, Journal of Applied Mathematics & Computing 18(1-2): 1-23.10.1007/BF02936553Search in Google Scholar

Mostafa, E. M. E. (2005b). An augmented Lagrangian SQP method for solving some special class of nonlinear semidefinite programming problems, Computational and Applied Mathematics 24(3): 461-486.10.1590/S0101-82052005000300008Search in Google Scholar

Mostafa, E. M. E. (2008). Computational design of optimal discrete-time output feedback controllers, Journal of the Operations Research Society of Japan 51(1): 15-28.10.15807/jorsj.51.15Search in Google Scholar

Mostafa, E. M. E. (2012). A conjugate gradient method for discrete-time output feedback control design, Journal of Computational Mathematics 30(3): 279-297.10.4208/jcm.1109-m3364Search in Google Scholar

Nocedal J. and Wright, S. J. (1999). Numerical Optimization, Springer, New York, NY.10.1007/b98874Search in Google Scholar

Peres, P. L. D. and Geromel, J. C. (1993). H2 control for discrete-time systems optimality and robustness, Automatica 29(1): 225-228.10.1016/0005-1098(93)90186-WSearch in Google Scholar

Sulikowski, B., Gałkowski, K., Rogers, E. and Owens, D. H. (2004). Output feedback control of discrete linear repetitive processes, Automatica 40(12): 2167-2173.10.1016/j.automatica.2004.07.010Search in Google Scholar

Syrmos, V. L., Abdallah, C. T., Dorato, P. and Grigoriadis, K. (1997). Static output feedback—A survey, Automatica 33(2): 125-137.10.1016/S0005-1098(96)00141-0Search in Google Scholar

Varga, A. and Pieters, S. (1998). Gradient-based approach to solve optimal periodic output feedback control problems, Automatica 34(4): 477-481.10.1016/S0005-1098(97)00214-8Search in Google Scholar

Zhai, G., Matsumoto, Y., Chen, X., Imae, J. and Kobayashi, T. (2005). Hybrid stabilization of discrete-time LTI systems with two quantized signals, International Journal of Applied Mathematics and Computer Science 15(4): 509-516.Search in Google Scholar

ISSN:
1641-876X
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
4 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Angewandte Mathematik