A Weighting Dependent Lyapunov Function Based Relaxed Stability Criterion for T - S Fuzzy Discrete Systems

Abstract

Abstract —A weighting dependent Lyapunov function based stability criterion for T-S fuzzy discrete systems has been studied in lots of literature. That is to find out r (number of rules) symmetric positive matrices Pis to satisfy r Lyapunov inequalities. The aim of this paper is to reduce the Lyapunov inequalities which should be satisfied with positive matrices s i P then the conservatism of the stability conditions would be relaxed. From the viewpoint of the group of firing rules and the maximum distance between two successive states of the system, a new relaxed stability criterion based on the weighting dependent Lyapunov function is proposed. Finally, an example is illustrated to show the relaxation effectiveness of the proposed stability criterion.

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Cite this paper

@inproceedings{Wang2004AWD, title={A Weighting Dependent Lyapunov Function Based Relaxed Stability Criterion for T - S Fuzzy Discrete Systems}, author={Wen June Wang}, year={2004} }