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Zbl 1073.93022
Xu, Shengyuan; Chen, Tongwen
$H_{\infty}$ output feedback control for uncertain stochastic systems with time-varying delays. (English)
[J] Automatica 40, No. 12, 2091-2098 (2004). ISSN 0005-1098

Summary: This paper deals with the problem of $H_{\infty}$ output feedback control for uncertain stochastic systems with time-varying delays. The parameter uncertainties are assumed to be time-varying norm-bounded. The aim is the design of a full-order dynamic output feedback controller ensuring robust exponential mean-square stability and a prescribed $H_{\infty}$ performance level for the resulting closed-loop system, irrespective of the uncertainties. A sufficient condition for the existence of such an output feedback controller is obtained and the expression of desired controllers is given.

MSC 2000:: *93B36 $H^\infty$-control
93C23 Systems governed by functional-differential equations
93E15 Stochastic stability

Keywords: Exponentially mean square stable; Output feedback; Robust $H_{\infty}$ control; Stochastic systems; Uncertain time-delay systems

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