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

Abstract EN

This paper discussesthe finite-time stability of chaotic systems with time-varying delay andparameter uncertainties.

A new model based on Takagi-Sugeno (T-S)model is proposed for representing chaotic systems.

By the newmodel, finite-time stability of chaotic systems can be convertedinto stabilization of fuzzy T-S systems with parameteruncertainties.

A sufficient condition is given in terms of matrixinequalities, which guarantees the finite-time stability for fuzzysystems can be achieved.

Numerical simulations on the chaoticsystems are presented to demonstrate the effectiveness ofthe theoretical results.