Novel robust stability criteria for interval time-varying delay systems with nonlinear perturbations

In this paper, the problem of delay dependent robust stability for a class of interval time-varying delay systems with nonlinear perturbations is studied. Based on the idea of delay-partitioning method (DPM), the whole delay interval is divided into two unequal subintervals at appropriate point and a new Lyapunov-Krasovskii functional (LKF) which contains some quadruple-integral terms and augment terms is introduced on each interval. Then, a new bounding technique based on a novel integral inequality approach together with reciprocally convex combination technique is used to deal with the cross term of the derivative. Hence, an enhanced delay-dependent stability criterion is derived in terms of linear matrix inequality (LMI). Finally, the numerical simulation results show that the proposed method is effective and less conservative.