Synchronization of stochastic dynamical networks with general coupling

Abstract

In this paper, we investigate exponential synchronization of a stochastic dynamical network model with general coupling, the coupling of which can be asymmetric, time-varying and nonlinear. The effect of time-varying delays is also considered. The stochastic perturbation is described by muti-dimensional Brownian motions. Some sufficient conditions are derived to ensure exponential synchronization of the presented stochastic dynamical networks with or without delayed feedback control scheme by using Lyapunov functional method, Itô's formula and some inequality techniques. Two numerical examples are finally exploited to show the effectiveness of the obtained results.