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Zbl 1167.93396
Boukas, El-Kébir
Delay-dependent robust stabilizability of singular linear systems with delays. (English)
[J] Stochastic Anal. Appl. 27, No. 4, 637-655 (2009). ISSN 0736-2994; ISSN 1532-9356/e

Summary: This article deals with the class of continuous-time singular uncertain linear systems with time-varying delay in the state vector. The uncertainties we are considering are of norm bounded type. Delay-dependent sufficient conditions on robust stability and robust stabilizability are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed-loop dynamics will be regular, impulse-free, and robust stable is proposed in terms of the solutions to linear matrix inequalities.

MSC 2000:: *93D21 Adaptive and robust stabilization
93D09 Robust stability of control systems
93D15 Stabilization of systems by feedback
15A39 Linear inequalities
93C15 Control systems governed by ODE
93C41 Control problems with incomplete information

Keywords: continuous-time uncertain linear systems; linear matrix inequality; memoryless state feedback; norm bounded type uncertainties; robust stability; robust stabilizability; singular systems

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