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Passivity analysis of uncertain fuzzy delayed systems

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  • Liu, Xingwen

Abstract

The passivity problem of uncertain fuzzy systems with bounded time delay is first studied. The passivity conditions, expressed in terms of linear matrix inequalities (LMIs), are delay-dependent, and may be delay-derivative-dependent when the delay is differentiable. Numerical example is given to show the correctness and effectiveness of our theoretical results.

Suggested Citation

  • Liu, Xingwen, 2007. "Passivity analysis of uncertain fuzzy delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 833-838.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:833-838
    DOI: 10.1016/j.chaos.2006.03.093
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    1. Lien, Chang-Hua, 2006. "Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 422-427.
    2. Liu, Xingwen & Zhang, Hongbin & Zhang, Fengli, 2005. "Delay-dependent stability of uncertain fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 147-158.
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    Cited by:

    1. Li, Lixiang & Yang, Yixian & Peng, Haipeng, 2009. "Fuzzy system identification via chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 401-409.
    2. 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.
    3. P. Balasubramaniam & G. Nagamani, 2011. "Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time-Varying Delays and Markovian Jumping Parameters," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 197-215, April.

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