Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays

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