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Zbl 0904.93011
Song, Seong-Ho; Kim, Jeom-Keun
$H_\infty$ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state. (English)
[J] Automatica 34, No.1, 137-139 (1998). ISSN 0005-1098

Summary: This paper deals with an $H_\infty$ control problem for discrete-time linear systems with norm-bounded uncertainties and time delay in the state. In terms of a modified Riccati inequality for discrete-time linear systems, a sufficient condition is presented and a state feedback control law is also given. The proposed control law is a memoryless state feedback control law.

MSC 2000:: *93B36 $H^\infty$-control
34K35 Functional-differential equations connected with control problems
93C55 Discrete-time control systems

Keywords: $H_\infty$ control; discrete-time linear systems; time delay; Riccati inequality; state feedback control

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