New robust H∞ control for uncertain stochastic Markovian jumping systems with mixed delays based on decoupling method
作者： Jianwei Xia , Changyin Sun , Baoyong Zhang
DOI: 10.1016/J.JFRANKLIN.2011.09.009
关键词:
摘要: Abstract This paper considers the problems of robust stochastic stabilization and H ∞ controller design for a class Markovain jumping systems with mixed time delays polytopic parameter uncertainties. Both interval time-varying delay distributed are simultaneously considered. Some new delay-dependent sufficient conditions, which differs greatly from most existing results, obtained based on decoupling method some advanced techniques. A numerical example is provided to illustrate effectiveness proposed criteria.
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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
Jianwei Xia, Shengyuan Xu, Bo Song, Delay-dependent L2–L∞ filter design for stochastic time-delay systems Systems & Control Letters. ,vol. 56, pp. 579- 587 ,(2007) , 10.1016/J.SYSCONLE.2007.04.001
Yurong Liu, Zidong Wang, Xiaohui Liu, Robust H∞ filtering for discrete nonlinear stochastic systems with time-varying delay Journal of Mathematical Analysis and Applications. ,vol. 341, pp. 318- 336 ,(2008) , 10.1016/J.JMAA.2007.10.019
Hongyi Li, Bing Chen, Chong Lin, Qi Zhou, Letters: Mean square exponential stability of stochastic fuzzy Hopfield neural networks with discrete and distributed time-varying delays Neurocomputing. ,vol. 72, pp. 2017- 2023 ,(2009) , 10.1016/J.NEUCOM.2008.12.006
X.X. Liao, X. Mao, Exponential stability of stochastic delay interval systems Systems & Control Letters. ,vol. 40, pp. 171- 181 ,(2000) , 10.1016/S0167-6911(00)00021-9
Xuerong Mao, Natalia Koroleva, Alexandra Rodkina, Robust stability of uncertain stochastic differential delay equations Systems & Control Letters. ,vol. 35, pp. 325- 336 ,(1998) , 10.1016/S0167-6911(98)00080-2
Yijun Zhang, Dong Yue, Engang Tian, New stability criteria of neural networks with interval time-varying delay: A piecewise delay method Applied Mathematics and Computation. ,vol. 208, pp. 249- 259 ,(2009) , 10.1016/J.AMC.2008.11.046
Hongyi Li, Chuan Wang, Peng Shi, Huijun Gao, New passivity results for uncertain discrete-time stochastic neural networks with mixed time delays Neurocomputing. ,vol. 73, pp. 3291- 3299 ,(2010) , 10.1016/J.NEUCOM.2010.04.019
Ming Liu, Daniel W.C. Ho, Yugang Niu, Brief paper: Stabilization of Markovian jump linear system over networks with random communication delay Automatica. ,vol. 45, pp. 416- 421 ,(2009) , 10.1016/J.AUTOMATICA.2008.06.023
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