Groupe d’études et de recherche en analyse des décisions

# Stabilization of Markovian Jumping Singularly Perturbed Delayed Systems

## Huaping Liu, El-Kébir Boukas et Fuchun Sun

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 $H_\infty$ performance and the $H_\infty$ 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