Robust H∞ 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-infinity control are developed. A numerical example is worked out to show the usefulness of the theoretical results.