Stochastic Stability Analysis of Control Systems with Uncertain Communication

This paper presents conditions for determining the stability of a networked control system. We assume that a given system is designed to be stochastically stable, when disregarding the implementation of the controller on a network. Based on the system description and an associated Lyapunov function, we provide conditions for the quality of the network under which the networked system is stable. In particular, we provide a valid inter-sampling interval, mean communication delay, and a set to which the system converges in the mean.