Stability Analysis for Discrete-Time Switched Systems With Time-Varying Delays

In this paper, we focus on the stability analysis for discrete-time switched systems with time-varying delays. By adopting extended mode-dependent average dwell-time switching laws and semi-time-dependent multiple Lyapunov-like functions, the improved stability criterion is deduced for switched time-delay systems comprising of both stable and unstable subsystems. Moreover, by using the reciprocally convex combination inequality and the Wirtinger-based summation inequality to cope with the time-varying delays, the conservativeness can be further reduced. The validity of the developed result is demonstrated by a numerical example.