Asynchronous memory sampled-data control of Markovian jump time-delay systems

This article is devoted to the asynchronous memory sampled-data control problem for Markovian jump time-delay systems. Since the plant mode is often unavailable in practice, the asynchronous phenomenon between system plant and sampled-data controller is taken into account and characterized by the hidden Markov model. Via employing a stochastic Lyapunov functional together with a looped functional, the sufficient criterion is obtained to guarantee that the underlying system is stochastically stable with asynchronous controller. Accordingly, a novel theorem is developed for the asynchronous memory sampled-data controller design of the Markovian jump system with time delay. Finally, some numerical simulations are provided to demonstrate the validity and advantages of the proposed approach.