Groupe d’études et de recherche en analyse des décisions

# Robust Stability and Stabilizability of Markov Jump Linear Uncertain System with Mode-Dependent Time-Delays

## El-Kébir Boukas et Z.K. Liu

This paper studies the class of uncertain linear systems with time-delay and Markov jump disturbance, in which the time-delay is assumed to be dependent on the system mode. An LMI-based condition for this class of systems to be robustly stable is established. Sufficient conditions for the robust stabilizability under state feedback controller is developed and an LMI-based method to design state feedback is proposed. Numerical examples are worked out to show the usefulness of the theoretic results.

, 14 pages