Groupe d’études et de recherche en analyse des décisions

G-2005-73

Delay-Dependent Stabilization of Singular Linear Systems with Delays

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This paper deals with the class of continuous-time singular linear systems with time delay in the state vector. Delay-dependent sufficient conditions on stability and 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 stable is proposed in terms of the solutions to linear matrix inequalities (LMIs).

, 16 pages