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STABILITY AND STABILIZABILITY OF A CLASS OF DYNAMICAL UNCERTAIN SYSTEMS WITH MULTIPLE TIME-VARYING DELAYS
D. Mehdi* E. K. Boukas** Z. K. Liu**
* L. A. I. I., ESIP, 40 Avenue du Recteur Pineau, 86022 Poitiers
Cedex, France
** Ecole Polytechnique de Montral, Mechanical Eng. Dept., P. O.
Box 6079, Station “centre-ville”, Montral, QC, Canada, H3C
3A7
The paper deals with the class of uncertain systems with multiple time-varying delays. The stability and stabilizability of this class are considered. Their robustness are also studied when the norm bounded uncertainties are considered. LMIs delay-dependant sufficient conditions for both stability and stabilizability and their robustness are established to check whetere a system of this class is stable or not and, or is stabilizable or not. Sime numerical examples are provided to show the usefulness of the proposed results.
Keywords: Dynamic systems, multiple time-varying delays, robust stability, robust stabilizability.
Session slot T-Th-E17: Time Delay II/Area code 2e : Robust Control
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