Stability and passivity analysis for Lur'e singular systems with Markovian switching

Authors:
Ping-Fang Zhou;Yue-Ying Wang;Quan-Bao Wang;Ji-An Chen;Deng-Ping Duan
Affiliations:
School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China 200240;School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China 200240;School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China 200240;School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China 200240;School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, China 200240
Venue:
International Journal of Automation and Computing
Year:
2013

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Abstract

This paper is concerned with the stochastic stability and passivity analysis for a class of Lur'e singular systems with time-varying delay and Markovian switching. By using the free-weighting matrices approach, a delay-dependent stability criterion, which guarantees that the system is stochastically stable and robustly passive, is derived in terms of linear matrix inequality (LMI). Two numerical examples are provided to illustrate the effectiveness of the proposed method.