(m,N)-delay-partitioning Approach to stability Analysis for T-S Fuzzy systems with Interval Time-varying Delay

This paper is concerned with improved stability criteria for uncertain T-S fuzzy systems with intervaltime-varying delay by means of a new (m;N)-delay-partitioning approach. Based on an appropriate augmented LKFestablished in the framework of state vector augmentation, some tighter bounding inequalities (Seuret-Wirtinger’sintegral inequality, Peng-Park’s integral inequality and the reciprocally convex approach) have been employed todeal with (time-varying) delay-dependent integral items of the derivative of LKF, therefore, less conservative delaydependentstability criteria can be obtained on account of none of any useful time-varying items are arbitrarilyignored. It’s worth mentioning that, when the delay-partitioning number m is fixed, less conservatism can beachieved by increase of another delay-partitioning number N, but without increasing any computing burden. Finally,one numerical example is provided to show that the proposed conditions are less conservative than existing ones.