Dynamic event-triggered control for discrete-time Markov jump systems

This paper concentrates on the dynamic event trigger based controller design for discrete-time Markov jump systems. The rich data transmission within the network channel may cause the collision and the waste of resources, which leads to some kinds of poor system performance. Firstly, a discrete time domain dynamic event trigger mechanism is proposed for controller design. Secondly, for discrete time Markov jump systems, a mode-dependent Lyapunov function is designed to ensure the system state to be exponentially mean-square ultimately bounded by linear matrix inequalities (LMIs). Finally, a numerical simulation example is conducted to illustrate the effectiveness of the provided method.