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Hindawi, Mathematical Problems in Engineering, (2015), p. 1-7, 2015

DOI: 10.1155/2015/393860

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

Journal article published in 2015 by Dong Li, Jinde Cao ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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.