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		Jianchen LIU,Jing ZHANG,Hongqiang ZHANG,Min HE.[en_title][J].Control Theory and Technology,2012,10(3):397~402.[Copy]

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JianchenLIU,JingZHANG,HongqiangZHANG,MinHE
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(Faculty of Electrical and Control Engineering, Liaoning Technical University;College of Electrical and Information Engineering, Hunan University)

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Received:December 07, 2009Revised:April 18, 2011

基金项目:This work was supported by the National Natural Science Foundation of China (No. 61174140).

Further improvement of stability criterion and BRL for Markovian jump systems with interval time-varying delay

Jianchen LIU,Jing ZHANG,Hongqiang ZHANG,Min HE

(Faculty of Electrical and Control Engineering, Liaoning Technical University;College of Electrical and Information Engineering, Hunan University)

Abstract:

This paper deals with delay-dependent stochastic stability and bounded real lemma (BRL) for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using the Jensen’s integral inequality method, the free weighting matrix method, the convex combination method and the delay decomposition approach integratedly, some less conservative delay-dependent stability criteria and BRL are established. Numerical examples are given to show the effectiveness of the proposed method.

Key words: Markovian jump systems Time-varying delay Delay-dependent Linear matrix inequality (LMI)