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Stability and guaranteed cost control of uncertain discrete delay systems. (English) Zbl 1083.93045
Linear discrete-time systems with uncertain delay and norm-bounded parameter perturbations are considered. First, linear matrix inequality conditions for asymptotic stability are derived for the delay-dependent and delay-independent cases. Then these results are extended to the guaranteed quadratic cost control by constant state feedback. Examples are provided to illustrate the application of the theory developed.

MSC:
93D09 Robust stability
93D21 Adaptive or robust stabilization
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
15A39 Linear inequalities of matrices
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