Stability Analysis of Discrete-time Switched Linear Systems in the presence of Time-delay and Parametric Uncertainties

This paper studies the stability conditions of discrete-time switched linear systems in the presence of parametric uncertainties and time-delay. The time-varying delay is assumed to be unknown but bounded. Based on the discrete Lyapunov functional, sufficient conditions are investigated to determine the upper bound of admissible time-delay. Furthermore, the average dwell time method that is an effective tool for stability analysis of switched systems is used to derive the exponential stability conditions. These conditions characterize the switching signal that does not depend on any uncertainties. Finally, numerical example is provided to verify the theoretical results.