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New results on delay-dependent robust $$H_{\infty}$$ control for systems with time-varying delays. (English) Zbl 1099.93010
Summary: This paper considers the problem of delay-dependent robust $$H_{\infty }$$ control for uncertain systems with time-varying delays. An improved delay-dependent bounded real lemma (BRL) for time-delay systems is established in terms of a linear matrix inequality. Based on the obtained BRL, a delay-dependent condition for the existence of a state feedback controller, which ensures asymptotic stability and a prescribed $$H_{\infty }$$ performance level of the closed-loop system for all admissible uncertainties, is proposed in terms of a matrix inequality.

##### MSC:
 93B36 $$H^\infty$$-control
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##### References:
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