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Less conservative stability conditions for fuzzy large-scale systems with time delays

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  • Lin, Chong
  • Wang, Qing-Guo
  • Lee, Tong Heng

Abstract

In this paper, we have studied the stability analysis for fuzzy large-scale systems with time delays. It provides an improved delay-dependent method by choosing appropriate Lyapunov–Krasovskii functionals and adopting free-weighting matrix techniques. An illustrative example convinces the less conservativeness of the present results.

Suggested Citation

  • Lin, Chong & Wang, Qing-Guo & Lee, Tong Heng, 2006. "Less conservative stability conditions for fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1147-1154.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1147-1154
    DOI: 10.1016/j.chaos.2005.08.077
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    References listed on IDEAS

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    1. Liu, Xingwen & Zhang, Hongbin, 2005. "Stability analysis of uncertain fuzzy large-scale system," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1107-1122.
    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.
    3. Zhang, Hongbin & Yu, Juebang, 2005. "LMI-based stability analysis of fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1193-1207.
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    Cited by:

    1. Gao, Huijun & Lam, James & Wang, Zidong, 2007. "Discrete bilinear stochastic systems with time-varying delay: Stability analysis and control synthesis," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 394-404.
    2. Sun, Yeong-Jeu, 2009. "Robust stability of uncertain T–S fuzzy time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1588-1594.

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