Groupe d’études et de recherche en analyse des décisions

G-2000-41

Stability and Stabilizability

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This report deals with the stability and stabilizability of dynamical systems with time-delay. Sufficient conditions are developed to check whether a system is stable or instable when it is autonomous and stable or instable under a given control law. Delay-dependent and delay-independent sufficient conditions are developed. LMI techniques are used. Some numerical examples are worked out to show the usefulness of the proposed theoretical results.

, 45 pages