Limited communication-based stability of networked control systems with transmission delay

This paper is concerned with the stability analysis of networked control systems wherein nodes exchange information over a limited communication channel. Considering the existence of random transmission delay, a switched system model is constructed according to the open loop or closed loop communication dictated by the limited communication. Based on it, a new type of system model with stochastic parameter is proposed in terms of the probability distribution of the system updated or not, such that the sufficient conditions for the stochastic stability of the systems are derived by using the Lyapunov functional method and linear matrix inequality technique, which is the merits of this paper. Finally, the number example is given to illustrate the effectiveness of proposed method.