Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations

Abstract EN

In this study, we focus on stability analysis for systems with time-varying delay and nonlinear perturbations.

In order to cut down the conservatism of the existing stability criteria, we utilize the triple integral forms of Lyapunov-Krasovskii functional (LKF).

In addition, by using single and double integral forms of Wirtinger-based inequality, we overcome some conservatism which come from Jensen’s inequality.

Three well-known numerical examples are given at the end.

Compared with some existing results, our results have less conservatism.