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Zbl 1205.93134
Phat, V.N.; Ha, Q.P.; Trinh, H.
Parameter-dependent $H_{\infty}$ control for time-varying delay polytopic systems. (English)
[J] J. Optim. Theory Appl. 147, No. 1, 58-70 (2010). ISSN 0022-3239; ISSN 1573-2878/e

Summary: This paper addresses the robust stabilization and $H_{\infty}$ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust $H_{\infty}$ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust $H_{\infty}$ control are established in terms of linear matrix inequalities.

MSC 2000:: *93D21 Adaptive and robust stabilization
93B36 $H^\infty$-control
93C41 Control problems with incomplete information

Keywords: $H_{\infty}$ control; polytopic uncertain systems; time-delay; robust stabilization; linear matrix inequality

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