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Stability and H ∞ Performance Analysis of Switched Stochastic Neutral Systems

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Abstract

This paper is concerned with the problems of stability and H ∞ performance for a class of switched stochastic neutral delay systems. By applying the average dwell time method, sufficient condition is first derived to guarantee the mean-square exponential stability of the switched stochastic neutral system. Then, the condition on a weighted H ∞ performance is proposed. The corresponding results are all formulated in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 60974027 and NUST Research Funding (2011YBXM26). The work of M.S. Mahmoud was supported by the deanship of scientific research (DSR) at KFUPM through project IN100018.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Guoxin Chen & Zhengrong Xiang

  2. Systems Engineering Department, King Fahd University of Petroleum and Minerals, P.O. Box 5067, Dhahran, 31261, Saudi Arabia

    Magdi S. Mahmoud

Authors
  1. Guoxin Chen
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  2. Zhengrong Xiang
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  3. Magdi S. Mahmoud
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Correspondence to Zhengrong Xiang.

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Chen, G., Xiang, Z. & Mahmoud, M.S. Stability and H ∞ Performance Analysis of Switched Stochastic Neutral Systems. Circuits Syst Signal Process 32, 387–400 (2013). https://doi.org/10.1007/s00034-012-9459-1

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  • DOI: https://doi.org/10.1007/s00034-012-9459-1

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