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Finite-time $H_{\infty }$ control for a class of discrete-time switched time-delay systems with quantized feedback. (English) Zbl 1263.93072
Summary: This paper is concerned with the finite-time quantized $H_{\infty }$ control problem for a class of discrete-time switched time-delay systems with time-varying exogenous disturbances. By using the sector bound approach and the average dwell time method, sufficient conditions are derived for the switched system to be finite-time bounded and ensure a prescribed $H_{\infty }$ disturbance attenuation level, and a mode-dependent quantized state feedback controller is designed by solving an optimization problem. Two illustrative examples are provided to demonstrate the effectiveness of the proposed theoretical results.

##### MSC:
 93B36 $H^\infty$-control 93C55 Discrete-time control systems 93C30 Control systems governed by other functional relations
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##### References:
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