Abstract. This paper is concerned with stability of a class of switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability for the system is designed via linear matrix inequalities.

Received: December 17, 2011

AMS Subject Classification: 93C30, 93D20, 37C75

Key Words and Phrases: switching design, discrete system, asymptotic stability, Lyapunov function, linear matrix inequality

Download paper from here.