Delay‐dependent stability criterion and H∞ analysis for Markovian jump systems with time‐varying delays
作者： Xudong Zhao , Mingxiang Ling , Qingshuang Zeng
DOI: 10.1002/ASJC.302
关键词:
摘要: This paper deals with the problems of stochastic stability and H∞ analysis for Markovian jump linear systems time-varying delays. In terms matrix inequalities, a less conservative delay-dependent criterion is proposed by constructing different Lyapunov-Krasovskii functional introducing improved integral-equalities approach, sufficient condition derived from performance. Numerical examples are provided to demonstrate efficiency reduced conservatism results in this paper. Copyright © 2010 John Wiley Sons Asia Pte Ltd Chinese Automatic Control Society
sci-hub.se 参考文章(14)
Shengyuan Xu, Tongwen Chen, James Lam, Robust H/sup /spl infin// filtering for uncertain Markovian jump systems with mode-dependent time delays IEEE Transactions on Automatic Control. ,vol. 48, pp. 900- 907 ,(2003) , 10.1109/TAC.2003.811277
Yong-Yan Cao, James Lam, Lisheng Hu, Delay-dependent stochastic stability and H∞ analysis for time-delay systems with Markovian jumping parameters Journal of the Franklin Institute. ,vol. 340, pp. 423- 434 ,(2003) , 10.1016/J.JFRANKLIN.2003.09.001
Shengyuan Xu, James Lam, Xuerong Mao, Delay-Dependent $H_{\infty }$ Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays IEEE Transactions on Circuits and Systems. ,vol. 54, pp. 2070- 2077 ,(2007) , 10.1109/TCSI.2007.904640
Wu-Hua Chen, Zhi-Hong Guan, Xiaomei Lu, PASSIVE CONTROL SYNTHESIS FOR UNCERTAIN MARKOVIAN JUMP SYSTEMS WITH MULTIPLE MODE-DEPENDENT TIME-DELAYS Asian Journal of Control. ,vol. 7, pp. 135- 143 ,(2008) , 10.1111/J.1934-6093.2005.TB00382.X
Shengyuan Xu, Tongwen Chen, H∞ output feedback control for uncertain stochastic systems with time-varying delays Automatica. ,vol. 40, pp. 2091- 2098 ,(2004) , 10.1016/J.AUTOMATICA.2004.06.018
W.-H. Chen, Z.-H. Guan, X. Lu, Delay-dependent output feedback stabilisation of Markovian jump system with time-delay IEE Proceedings - Control Theory and Applications. ,vol. 151, pp. 561- 566 ,(2004) , 10.1049/IP-CTA:20040844
Jie Lian, Jun Zhao, Output feedback variable structure control for a class of uncertain switched systems Asian Journal of Control. ,vol. 11, pp. 31- 39 ,(2009) , 10.1002/ASJC.77
Jing Wu, Tongwen Chen, Long Wang, Delay-Dependent Robust Stability and H∞ Control for Jump Linear Systems with Delays Systems & Control Letters. ,vol. 55, pp. 939- 948 ,(2006) , 10.1016/J.SYSCONLE.2006.06.006
K. Benjelloun, E.K. Boukas, Mean Square Stochastic Stability Of Linear Time-delay System With Markovian Jumping Parameters IEEE Transactions on Automatic Control. ,vol. 43, pp. 1456- 1460 ,(1998) , 10.1109/9.720508
P. Shi, Y. Xia, G.P. Liu, D. Rees, On designing of sliding-mode control for stochastic jump systems IEEE Transactions on Automatic Control. ,vol. 51, pp. 97- 103 ,(2006) , 10.1109/TAC.2005.861716