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		Shuping HE,Fei LIU.[en_title][J].Control Theory and Technology,2009,7(1):35~40.[Copy]

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ShupingHE,FeiLIU
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Received:September 25, 2007Revised:April 18, 2008

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Exponential stability for uncertain neutral systems with Markov jumps

Shuping HE, Fei LIU

(Institute of Automation, Jiangnan University, Wuxi Jiangsu 214122, China)

Abstract:

This paper deals with the global exponential stability problems for stochastic neutral Markov jump systems (MJSs) with uncertain parameters and multiple time-delays. The delays are respectively considered as constant and time varying cases, and the uncertainties are assumed to be norm bounded. By selecting appropriate Lyapunov-Krasovskii functions, it gives the sufficient condition such that the uncertain neutral MJSs are globally exponentially stochastically stable for all admissible uncertainties. The stability criteria are formulated in the form of linear matrix inequalities (LMIs), which can be easily checked in practice. Finally, two numerical examples are exploited to illustrate the effectiveness of the developed techniques.

Key words: Markov jump systems (MJSs) Global exponential stability Time-delays Uncertainties Linear matrix inequalities (LMIs)