Stability Analysis of Discrete-Time Linear Time-Varying Switched Systems with Delays

Abstract This paper addresses the stability issues of linear time-varying switched systems with time-varying delays. It is assumed that the delays are piecewise continuous, either bounded or unbounded, and that there exists a comparison system, formed by means of the lower and upper bounds of elements of the system matrices of the original system, being asymptotically or exponentially stable. With these assumptions, the stability conclusion of original system can be inferred from that of comparison system. An example is provided to illustrate the proposed theoretical result.