Groupe d’études et de recherche en analyse des décisions

G-2005-84

Stabilization of Markovian Jumping Singularly Perturbed Delayed Systems

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This paper deals with the class of Markovian singularly perturbed linear continuous-time systems with time varying and mode-dependent time-delay. The stochastic stability and performance and the state feedback stabilization are tackled. Sufficient conditions in the LMI setting are established for both the problems. A numerical example is provided to show the effectiveness of the developed results.

, 21 pages