Groupe d’études et de recherche en analyse des décisions

G-2000-70

Dynamical Systems with Multiple Time-Varying Delays: Stability and Stabilizability

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This paper deals with the class of uncertain systems with muliple time-delays. The stability and stabibizability of this class of systems are considered. Their robustness are also studied when the norm bounded uncertainties are considered. LMIs Delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check whether a system of this class is stable or not and/or is stabilizable or not. Some numerical examples are provided to show the usefulness of the proposed results.

, 35 pages