Delay-dependent stability and H∞ control of uncertain discrete-time Markovian jump systems with mode-dependent time delays

This paper considers the problems of stability, stabilization and H ∞ control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerical examples are presented to illustrate the usefulness of the theoretical results.