Exponential admissibility of discrete-time switched singular time-delay systems: An average dwell time approach

This paper addresses the exponential admissibility of a class of discrete-time switched singular systems with time-varying delay. By defining a properly constructed decay-rate-dependent Lyapunov function and using the average dwell time approach, a delay-dependent sufficient condition is derived for the system to be regular, causal and exponentially stable. The obtained results provide a solution to one of the basic problems in discrete-time switched singular time-delay systems, that is, to identify a switching signal for which the switched singular time-delay system is regular, causal and exponentially stable. Numerical example is given to demonstrate the effectiveness of the proposed results.