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

Ping-Fang Zhou Yue-Ying Wang Quan-Bao Wang Ji-An Chen Deng-Ping Duan

Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen, Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 79-84 . doi: 10.1007/s11633-013-0699-8
引用本文: Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen, Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 79-84 . doi: 10.1007/s11633-013-0699-8
Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen and Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching. International Journal of Automation and Computing, vol. 10, no. 1, pp. 79-84 , 2013 doi:  10.1007/s11633-013-0699-8
Citation: Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen and Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching. International Journal of Automation and Computing, vol. 10, no. 1, pp. 79-84 , 2013 doi:  10.1007/s11633-013-0699-8

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

doi: 10.1007/s11633-013-0699-8
基金项目: 

This work was supported by National High Technology Research and Development (863 Program) of China (No. 2011AA7052011).

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

Funds: 

This work was supported by National High Technology Research and Development (863 Program) of China (No. 2011AA7052011).

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    Corresponding author: Ping-Fang Zhou
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出版历程
  • 收稿日期:  2012-02-24
  • 修回日期:  2012-08-03
  • 刊出日期:  2013-02-20

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

doi: 10.1007/s11633-013-0699-8
    基金项目:

    This work was supported by National High Technology Research and Development (863 Program) of China (No. 2011AA7052011).

摘要: 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.

English Abstract

Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen, Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 79-84 . doi: 10.1007/s11633-013-0699-8
引用本文: Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen, Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 79-84 . doi: 10.1007/s11633-013-0699-8
Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen and Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching. International Journal of Automation and Computing, vol. 10, no. 1, pp. 79-84 , 2013 doi:  10.1007/s11633-013-0699-8
Citation: Ping-Fang Zhou, Yue-Ying Wang, Quan-Bao Wang, Ji-An Chen and Deng-Ping Duan. Stability and Passivity Analysis for Lur'e Singular Systems with Markovian Switching. International Journal of Automation and Computing, vol. 10, no. 1, pp. 79-84 , 2013 doi:  10.1007/s11633-013-0699-8
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