Stability Analysis via Fuzzy Weighting-Dependent Approach for Nonlinear Time-Delay Systems

This paper is concerned with the asymptotic stability for Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delay. By constructing an appropriate type of fuzzy weighting-dependent Lyapunov functional and adopting the free-weighting matrix method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities(LMIs). Due to the reservation of some useful terms in the derivative of Lyapunov functional and the introduction of some relaxation matrices into the proposed Lyapunov functional, the results obtained in this paper may improve the existing ones. The last numerical examples are given to demonstrate the effectiveness of the design procedure.