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Stability analysis of uncertain fuzzy large-scale system

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  • Liu, Xingwen
  • Zhang, Hongbin

Abstract

In this paper the stability problem of continuous and discrete time fuzzy large-scale systems with uncertainties is studied. Each of these systems consists of J interconnected subsystems which are represented by Takagi–Sugeno models. The stability conditions are derived by using vector Lyapunov function approach and expressed in terms of linear matrix inequalities. Two examples are given to demonstrate the correctness of the results.

Suggested Citation

  • Liu, Xingwen & Zhang, Hongbin, 2005. "Stability analysis of uncertain fuzzy large-scale system," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1107-1122.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:5:p:1107-1122
    DOI: 10.1016/j.chaos.2004.11.091
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    Cited by:

    1. 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.
    2. Nieto, Juan J. & Rodríguez-López, Rosana, 2006. "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1376-1386.
    3. 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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