New stability criteria for neutral systems with interval time-varying delays and nonlinear perturbations

This paper concerns the problem of the asymptotic stability problem for neutral system with interval time-varying delays and two classes of uncertainties. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI). Slack variables and convex combination technique are adopted to reduce the conservatism of obtained results. A numerical example is given to show the effectiveness of proposed method.