Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching

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 stochasti...

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Bibliographic Details
Published in:International journal of automation and computing 2013-02, Vol.10 (1), p.79-84
Main Authors: Zhou, Ping-Fang, Wang, Yue-Ying, Wang, Quan-Bao, Chen, Ji-An, Duan, Deng-Ping
Format: Article
Language:English
Subjects:
CAE) and Design
Computer Applications
Computer-Aided Engineering (CAD
Control
Engineering
Mechatronics
Robotics
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Summary: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.
ISSN:1476-8186
1751-8520
DOI:10.1007/s11633-013-0699-8