Delay dependent stability analysis of interval time-delay systems

Abstract

This paper considers interval time-varying delay systems. The time-delay interval is divided into several zones and the systems switch among the different zones. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, Exponential stability is exploited for every time-delay zone. The global stability of the switched system is guaranteed if some minimum average dwell time conditions are satisfied. Some numerical examples and comparisons with other works show that the methods greatly enlarge the value of maximum upper-bound of time-delay for the systems.