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Robust stabilization for uncertain discrete singular systems with state delay. (English) Zbl 1151.93426
Summary: The robust stabilization problem for uncertain discrete singular time-delay systems is addressed in this paper. In terms of strict linear matrix inequality and a finite sum inequality, a delay-dependent criterion for the nominal systems to be admissible is obtained. Based on the criterion, a state feedback controller, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is regular, causal and stable, is constructed. An explicit expression for the desired controller is also given. The obtained results include both delay-independent and delay-dependent cases. Some numerical examples are introduced to show the effectiveness of the given results.

93D21Adaptive or robust stabilization
93C41Control problems with incomplete information
93C55Discrete-time control systems
93B51Design techniques in systems theory
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