Robust stability of discrete interval systems with a state time delay

Abstract

This paper studies robust stability analysis for discrete interval time delay systems. By selecting properly a positive definite matrix Q, we derive a simple upper bound of the solution of the discrete Lyapunov equation. Then, by using Lyapunov equation approach associated with this bound, several concise criteria are developed to guarantee the robust stability of the mentioned systems. The feature of these present criteria is that they are independent of any Lyapunov equation although the Lyapunov equation approach is adopted. © 2013 Springer-Verlag.