This paper investigates the problem of robust stabilization of uncertain discrete-time switched non-linear systems with time delay under asynchronous switching. By using the average dwell time approach and piecewise Lyapunov functional technique, a state feedback controller is developed for the discrete-time switched system under asynchronous switching, and sufficient conditions for the existence of the controller are derived. Then, the proposed approach is extended to design robust stabilizing controller for the switched non-linear system with time delay under asynchronous switching. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
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