Stability criteria for Takagi-Sugeno fuzzy delayed systems based on delay decomposition approach

This paper is concerned with the stability analysis of Takagi-Sugeno fuzzy dynamic systems with constant time delay. A new delay-dependent asymptotic stability condition for the system is derived by using a novel quadratic Lyapunov-Krasovskii functional, which is constructed by uniformly dividing the delay interval into multiple segments and choosing proper functional with weighted matrices for each segment. It is shown that the result obtained with this approach is less conservative than some other existing results. And a numerical example given also demonstrates the effectiveness of the proposed approach.