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Research Papers

Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects

[+] Author and Article Information
Jia Xu

Department of Mathematics,  Tongji University, Shanghai 200092, China; College of Electronics and Information Engineering,  Tongji University, Shanghai 201804, Chinaxujia1910@yahoo.com.cn

Jitao Sun1

Department of Mathematics,  Tongji University, Shanghai 200092, Chinasunjt@sh163.net

Dong Yue

Department of Control Science and Engineering,  Huazhong University of Science and Technology, Wuhan, Hubei 430074, Chinamedongy@vip.163.com

1

Corresponding author.

J. Dyn. Sys., Meas., Control 134(1), 011011 (Dec 05, 2011) (5 pages) doi:10.1115/1.4005359 History: Received January 29, 2011; Accepted September 18, 2011; Published December 05, 2011; Online December 05, 2011

In this paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time stable are derived. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed conditions.

Copyright © 2012 by American Society of Mechanical Engineers
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