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

Dong Li and Jinde Cao

Mathematical Problems in Engineering, 2015, vol. 2015, 1-7

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:393860

DOI: 10.1155/2015/393860

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