Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems
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Y. Ji, H. J. Chizeck, X. Feng, et al. Stability and control of discrete-time jump linear systems[J]. Control Theory Advanced Technology, 1991, 7(2): 247–270.
E. K. Boukas, P. Shi. Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters[J]. International Journal of Robust Nonlinear Control, 1998, 8(13): 1155–1167.
E. K. Boukas, Z. Liu. Robust stability and H∞ control of discrete-time jump linear systems with time-delays: an LMI approach[C] // Proceedings of the 39th IEEE Conference on Decision and Control. Sydney: IEEE Press, 1999: 1527–1532.
P. Shi, E. K. Boukas, K. Agarwal. Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay[J]. IEEE Transactions on Automatic Control, 1999, 44(11): 2139–2144.
Y. Cao, J. Lam. Stochastic stabilizability and H∞ control for discrete-time jump linear systems with time delay[J]. Journal of Franklin Institute, 1999, 336(8): 1263–1281.
E. K. Boukas, Z. Liu. Robust H∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays[J]. IEEE Transactions on Automatic Control, 2001, 46(12): 1918–1924.
L. Dai. Singular control systems[M]//Lecture Notes in Control and Information Sciences. New York: Springer-Verlag, 1989.
I. Masubuchi, Y. Kamitane, A. Ohara, et al. H∞ control for descriptor systems: a matrix inequalities approach[J]. Automatica, 1997, 3(1): 669–673.
S. Ma, Z. Cheng. State feedback H∞ control design problem for linear singular systems[J]. Control Theory and Applications, 2001, 18(4): 513–518(in Chinese).
S. Xu, C. Yang. Stabilization of discrete-time singular systems: A matrix inequalities approach[J]. Automatica, 1999, 35(9): 1613–1617.
S. Xu, J. Lam. Robust stability and stabilization of discrete singular systems: An equivalent characterization[J]. IEEE Transactions on Automatic Control, 2004, 49(4): 568–574.
S. Ma, Z. Cheng. Robust stabilization for a class of discrete-time singular systems with uncertainties[J]. Control Theory and Applications, 2004, 21(5): 765–769 (in Chinese).
S. Ma, Z. Cheng. Delay-dependent robust stabilization for uncertain discrete time singular systems with time-delay[C] // Proceedings of the Sixth World Congress on Intelligent Control and Automation. Dalian: IEEE Opetations Center, 2006: 2081–2085.
E. K. Boukas. Static output feedback control for stochastic hybrid systems: LMI approach[J]. Automatica, 2006, 42(1): 183–188.
I. R. Petersen. A stabilization algorithm for a class of uncertain linear systems[J]. Systems & Control Letters, 1987, 8(4): 351–357.
E. Fridman, U. Shaked. A descriptor system approach to H∞ control of linear time-delay systems[J]. IEEE Transactions on Automatic Control, 2002, 47(2): 253–270.