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H_inf Performance to Stability and Stabilization for Singular Time Delay Systems

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


This paper is concerned with delay-dependent control of linear singular time delay systems. Based on linear matrix inequality (LMI) approach, we design a state feedback controller, which guarantees the resultant closed-loop system is regular, impulse free, and stable with performance constraint. The results are delay dependent. Numerical examples show that significant improvements are achieved over some existing methods.


singular systems, time delay, control, linear matrix inequality (LMI), delay dependent conditions.

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