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Stability and output feedback stabilization for systems with Markovian switching and impulse effects
Received:2008/10/13  Revised:2009/5/10
Keywords:Markov process  Impulse  Stability in the mean square sense  Output feedback controller
Fund Project:This work was supported by the National Natural Science Foundation of China (No.60974027).
AuthorInstitutionE-mail
Shen CONG School of Mechanical and Electrical Engineering, Heilongjiang University, Harbin Heilongjiang 150080, China Shen_Tsong@163.com 
Yun ZOU Department of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China  
Yijun ZHANG Department of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China  
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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.
Shen CONG,Yun ZOU and Yijun ZHANG.Stability and output feedback stabilization for systems with Markovian switching and impulse effects[J].Journal of Control Theory and Applications,2010,8(4):453~456.
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