Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays
作者： P. Balasubramaniam , R. Krishnasamy , R. Rakkiyappan
DOI: 10.1016/J.CNSNS.2012.01.003
关键词:
摘要: Abstract This paper deals with the problem of stability analysis non-linear singular systems Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent conditions are derived in terms linear matrix inequalities (LMIs) by constructing a Lyapunov–Krasovskii functional using some integral inequalities. Numerical examples presented to illustrate usefulness less conservativeness proposed theoretical results.
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L. Dai, Singular Control Systems ,(1989)
Z. Wu, W. Zhou, Delay-dependent robust H/sub /spl infin// control for uncertain singular time-delay systems Iet Control Theory and Applications. ,vol. 1, pp. 1234- 1241 ,(2007) , 10.1049/IET-CTA:20060446
Zhang Hua-Guang, Fu Jie, Ma Tie-Dong, Tong Shao-Cheng, Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise Chinese Physics B. ,vol. 18, pp. 3325- 3336 ,(2009) , 10.1088/1674-1056/18/8/037
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Shengyuan Xu, James Lam, Chengwu Yang, Robust H∞ control for uncertain singular systems with state delay International Journal of Robust and Nonlinear Control. ,vol. 13, pp. 1213- 1223 ,(2003) , 10.1002/RNC.837
Guoliang Wang, Qingling Zhang, Chunyu Yang, None, Dissipative control for singular Markovian jump systems with time delay Optimal Control Applications & Methods. ,vol. 33, pp. 415- 432 ,(2012) , 10.1002/OCA.1004
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
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, Yun Zou, An improved characterization of bounded realness for singular delay systems and its applications International Journal of Robust and Nonlinear Control. ,vol. 18, pp. 263- 277 ,(2008) , 10.1002/RNC.1215
Baoyong Zhang, Shengyuan Xu, Yun Zou, Output feedback stabilization for delayed large-scale stochastic systems with markovian jumping parameters Asian Journal of Control. ,vol. 11, pp. 457- 460 ,(2009) , 10.1002/ASJC.126