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We study the L2-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 L2-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 L2-gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results

mathematical problems in engineering

An MDADT-Based Approach for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn fontstyle="italic">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-Gain Analysis of Discrete-Time Switched Delay Systems

An MDADT-Based Approach forL2-Gain Analysis of Discrete-Time Switched Delay Systems