Delay-interval-dependent robust stability results for uncertain stochastic systems with Markovian jumping parameters ☆
作者： P. Balasubramaniam , R. Krishnasamy , R. Rakkiyappan
DOI: 10.1016/J.NAHS.2011.06.001
关键词: Norm (mathematics) 、 Control theory 、 Linear matrix inequality 、 Upper and lower bounds 、 Bounded function 、 Mathematics 、 Parametric statistics 、 Stochastic process 、 Lyapunov stability 、 Matrix (mathematics)
摘要: Abstract This paper is concerned with the robust stability analysis of Markovian jumping uncertain stochastic systems interval time-varying delays. The parametric uncertainties which appear in all system matrices are assumed to be norm bounded. A new matrix P i introduced for deriving results. Based on Lyapunov theory and technique, improved delay-dependent criteria derived by considering relationship among delay, its upper bound their difference without ignoring any terms. Numerical examples given verify effectiveness less conservativeness proposed method.
elsevier.com
sci-hub.se 参考文章(22)
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Shengyuan Xu, Tongwen Chen, Robust H/spl infin/ control for uncertain stochastic systems with state delay IEEE Transactions on Automatic Control. ,vol. 47, pp. 2089- 2094 ,(2002) , 10.1109/TAC.2002.805670
Yong He, Qing-Guo Wang, Chong Lin, Min Wu, Technical communique: Delay-range-dependent stability for systems with time-varying delay Automatica. ,vol. 43, pp. 371- 376 ,(2007) , 10.1016/J.AUTOMATICA.2006.08.015
Zidong Wang, Yurong Liu, Xiaohui Liu, State estimation for jumping recurrent neural networks with discrete and distributed delays Neural Networks. ,vol. 22, pp. 41- 48 ,(2009) , 10.1016/J.NEUNET.2008.09.015
Yan ZHANG, Yong HE, Min WU, Delay-dependent Robust Stability for Uncertain Stochastic Systems with Interval Time-varying Delay Acta Automatica Sinica. ,vol. 35, pp. 577- 582 ,(2009) , 10.1016/S1874-1029(08)60088-9
Zhang Yan, He Yong, Wu Min, Improved delay-dependent robust stability for uncertain stochastic systems with time-varying delay chinese control conference. pp. 764- 768 ,(2008) , 10.1109/CHICC.2008.4605195
Chen Peng, Yu-Chu Tian, Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay Journal of Computational and Applied Mathematics. ,vol. 214, pp. 480- 494 ,(2008) , 10.1016/J.CAM.2007.03.009
Xiefu Jiang, Qing-Long Han, Technical communique: Delay-dependent robust stability for uncertain linear systems with interval time-varying delay Automatica. ,vol. 42, pp. 1059- 1065 ,(2006) , 10.1016/J.AUTOMATICA.2006.02.019
R. Rakkiyappan, P. Balasubramaniam, Dynamic analysis of Markovian jumping impulsive stochastic Cohen–Grossberg neural networks with discrete interval and distributed time-varying delays Nonlinear Analysis: Hybrid Systems. ,vol. 3, pp. 408- 417 ,(2009) , 10.1016/J.NAHS.2009.02.008
Shengyuan Xu, James Lam, Tongwen Chen, Robust H∞ control for uncertain discrete stochastic time-delay systems Systems & Control Letters. ,vol. 51, pp. 203- 215 ,(2004) , 10.1016/J.SYSCONLE.2003.08.004