Stability of interval time-varying delay systems with nonlinear perturbations: An improved result

In this paper, the problem of stability analysis of continuous-time linear system with interval time-varying delay and nonlinear perturbations has been investigated. A tighter bounding technique for the integral term arising in the derivative of Lyapunov-Krasovskii functional (LKF) is developed. Further, the delay range is divided into two equal segments for stability analysis. Using the proposed bounding technique for integral term corresponding to the segment in which the time-varying delay lies along with the Wirtinger inequality based result, a novel linear matrix inequality (LMI) based stability criterion has been developed. Further, it is illustrated with the help of a numerical example that the proposed approach is less conservative and computationally less complex as compared to the recently reported result.