Robust Stability of Discrete Large-Scale Interval Time-Delay Systems

Abstract

This paper addresses the robust stability analysis for discrete large-scale interval systems subjected to time delays. We establish a very simple upper solution bound of the discrete algebraic Lyapunov equation (DALE). Then, using the Lyapunov equation approach associated with this upper bound and some linear algebraic techniques, several simple criteria are presented to guarantee the robust stability of the overall systems. The featuresof these present results arethat they are independent of any Lyapunov equation although the Lyapunov equation approach is adopted.