Memory state feedback stabilization for singular Markovian jump time-delay systems

This note is concerned with the delay-dependent stabilization problem for singular Markovian jump time-delay systems. Attention is focused on the design of memory state feedback controllers to guarantee the resulting closed-loop system to be regular, impulse free and stochastically stable. First, in terms of the Lyapunov technique and linear matrix inequalities, a delay-dependent condition is established, which guarantees the considered system to be regular, impulse free and stochastically stable. Then, based on this condition, a delay-dependent design algorithm for the desired state feedback controller is proposed in terms of a set of strict linear matrix inequalities (LMIs). Finally, numerical examples illustrate the validity of the results proposed in this paper.