New Delay-dependent Stability Criteria for T-S Fuzzy Systems with a Time-varying Delay

This paper deals with the asymptotic stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. The relationship among the time-varying delay, its upper bound and their difference is taken into account. As a result, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.