Robust [H.sub.[infinity]] control of discrete-time Markovian jump linear systems with mode-dependent time-delays

This note considers the class of discrete-time Markovian jump linear system with norm-bounded uncertainties and time-delay, which is dependent on the system mode. Linear matrix inequality (LMI)-based sufficient conditions for the stability, stabilization and [H.sub.[infinity]] control are developed. A numerical example is worked out to show the usefulness of the theoretical results. Index Terms--Discrete-time Markovian jump linear system, [H.sub.[infinity]] control, linear matrix inequality (LMI), time-delay system.