An MDADT-based approach for -gain analysis of discrete-time switched delay systems
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We study the L 2 -gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the L 2 -gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee the L 2 -gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results.
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