H∞-performance analysis for discrete-time switched systems with time-delay

The problem of robust H_infin-performance analysis for a class of uncertain discrete-time switched systems with time-delay is investigated. The uncertainty considered here is assumed to be linear fractional. Combined the switched Lyapunov-Krasovskii function method with Finslerpsilas Lemma, a condition is derived to check the robust asymptotically stability with a prescribed H_infin norm bound gamma. Furthermore, the upper bound of gamma can be obtained by a convex optimization problem with a set of linear matrix inequalities (LMIs) constraints. A numerical example demonstrates the effect of the proposed approach.