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Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations

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  • Ye, Zhiyong
  • Ji, Huihui
  • Zhang, He

Abstract

This paper is concerned with the passivity problem for a class of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations. Some sufficient conditions are obtained to guarantee that the complex dynamic networks with multiple time-varying delays and stochastic perturbations under Markovian switching are passive in the sense of expectation. The appropriate stochastic Lyapunov–Krasovskii functional was constructed, and stochastic theory, linear matrix inequality technique and properties of Weiner process were employed to achieve the results. Finally, some simulation examples are presented to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.
    • Handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:147-157
    DOI: 10.1016/j.chaos.2015.11.027
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    References listed on IDEAS

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    5. Shun-Yan Ren & Yue-Hui Zhao, 2014. "Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, September.
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    Cited by:

    1. Hanmei Wang & Jun Zhao, 2018. "Passivity and control of switched discrete-time nonlinear systems using linearisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 68-83, January.
    2. Li, Lijie & Feng, Yu & Liu, Yongjian, 2016. "Dynamics of the stochastic Lorenz-Haken system," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 670-678.

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