Robust H∞ control for a class of discrete switched systems with uncertainties and delays

A class of discrete switched systems with uncertainties and delays is studied, where the uncertainties satisfies norm bounded conditions. Sufficient conditions are obtained by using multi-Lyapunov functional, matrix inequalities and some slack matrices, which can keep the closed-loop system not only exponential stability but also H
_∞
performance for a class of switching signal with average dwell time.