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Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

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  • Dong Li
  • Jinde Cao

Abstract

This paper discusses the finite-time stability of chaotic systems with time-varying delay and parameter uncertainties. A new model based on Takagi-Sugeno (T-S) model is proposed for representing chaotic systems. By the new model, finite-time stability of chaotic systems can be converted into stabilization of fuzzy T-S systems with parameter uncertainties. A sufficient condition is given in terms of matrix inequalities, which guarantees the finite-time stability for fuzzy systems can be achieved. Numerical simulations on the chaotic systems are presented to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Dong Li & Jinde Cao, 2015. "Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, May.
    • Handle: RePEc:hin:jnlmpe:393860
    DOI: 10.1155/2015/393860
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