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		Zhengguang WU,Hongye SU,Jian CHU.[en_title][J].Control Theory and Technology,2009,7(3):231~236.[Copy]

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ZhengguangWU,HongyeSU,JianCHU
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Received:August 21, 2008Revised:November 04, 2008

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Delay-dependent stabilization of singular Markovian jump systems with state delay

Zhengguang WU, Hongye SU, Jian CHU

(National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou Zhejiang 310027, China)

Abstract:

This paper deals with the delay-dependent stabilization problem for singular systems with Markovian jump parameters and time delays. A delay-dependent condition is established for the considered system to be regular, impulse free and stochastically stable. Based on the condition, a design algorithm of the desired state feedback controller which guarantees the resultant closed-loop system to be regular, impulse free and stochastically stable is proposed in terms of a set of strict linear matrix inequalities (LMIs). Numerical examples show the effectiveness of the proposed methods.

Key words: Singular time-delay systems Markovian jumping parameters Delay-dependent Stochastic stability Linear matrix inequality (LMI)