Stochastic Stability of Networked Markovian Switching Systems via Asynchronous Controller

We consider that there exist delays and random packet dropouts (PDs) in the communication network. Based on this background, this paper focuses on the stochastic stability for networked Markovian switching systems (NMSS). The modes of NMSS and desired controller do not need to synchronize, and they are determined by two mutually independent Markov chains, respectively. A sufficient condition is derived such that the closed-loop NMSS can be stochastically stable. A numerical example and simulations show the effectiveness of the proposed approach.