The state feedback control for a class of singular Markovian jump systems subject to input saturation and time delay

This paper is concerned with state feedback stabilization problem of singular Markovian jump delayed systems with partially known transition rates subject to input saturation. The aim is the design of a state feedback controller, which guarantee that the resulting closed-loop constrained systems are mean-square asymptotically stable. By employing local sector conditions and an appropriate Lyapunov function, some sufficient conditions for the solution to this problem are given. Finally, a numerical example illustrating the proposed method is provided.