Asynchronous control for Markov jump systems subject to actuator saturation and partial mode information

This article studies the control problem of Markov jump systems subject to actuator saturation and partial mode information. The asynchronous phenomenon between the controller and the plant is addressed by introducing a hidden Markov model. By means of convex hull method, some sufficient conditions are obtained to guarantee the stochastic stability of the saturated Markov jump systems. Finally, a numerical example is given to illustrate the effectiveness of the algorithm.