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		Shen CONG,Yun ZOU,Yijun ZHANG.[en_title][J].Control Theory and Technology,2010,8(4):453~456.[Copy]

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ShenCONG,YunZOU,YijunZHANG
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(School of Mechanical and Electrical Engineering, Heilongjiang University, Harbin Heilongjiang 150080, China;Department of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China)

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Received:October 13, 2008Revised:May 10, 2009

基金项目:This work was supported by the National Natural Science Foundation of China (No.60974027).

Stability and output feedback stabilization for systems with Markovian switching and impulse effects

Shen CONG,Yun ZOU,Yijun ZHANG

(School of Mechanical and Electrical Engineering, Heilongjiang University, Harbin Heilongjiang 150080, China;Department of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China)

Abstract:

We investigate the exponential stability in the mean square sense for the systems with Markovian switching and impulse effects. Based on the statistic property of the Markov process, a stability criterion is established. Then, by the parameterizations via a family of auxiliary matrices, the dynamical output feedback controller can be solved via an LMI approach, which makes the closed-loop system exponentially stable. A numerical example is given to demonstrate the method.

Key words: Markov process Impulse Stability in the mean square sense Output feedback controller