Almost Sure Quasi-Synchronization of Reaction-Diffusion Neural Networks With Stochastic Switching via Boundary Control

This paper devotes to the almost sure quasi-synchronization of reaction-diffusion neural networks (RDNNs) with stochastic switching. Markov switching (MS) and independent and identically distributed switching (IIDS) are considered. By designing a boundary controller, some almost sure bounded decay results are presented to analyze the error system obtained from the leader and RDNNs. Almost sure quasi-synchronization of RDNNs with stochastic switching is realized under the ergodic theory of Markov chain and the law of large numbers for independent and identically distributed process (IIDP). Meanwhile, an example with simulations is provided to verify the conclusion.