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Delay dependent robust stabilization of singular systems with additive time-varying delays

N. Chaibi, E. H. Tissir, A. Hmamed, S. Idrissi

Abstract


This paper considers the problem of delay-dependent robust stabilization for uncertain singular systems with additive time-varying delays. The purpose of the robust stabilization problem is to design a state feedback controller, such that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. The results are expressed in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.

Keywords


singular systems, additive time-varying delays, linear matrix inequalities (LMIs), stability, robust stabilization, delay-dependent conditions

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