Links synchronization control for complex networks with stochastic links dynamics

In this paper, the links synchronization is investigated for a class of complex networks with stochastic links dynamics. Different from existing studies, the two stochastic differential equations are applied to model the dynamics of nodes and links separately in this paper, where the stochastic factor considered in the dynamics of the links is novel. Furthermore, there have been many studies on the nodes synchronization in stochastic complex dynamic networks, but few studies on the links synchronization. In this paper, we give a definition of links synchronization in the mean-square sense, which is achieved by designing the suitable control scheme. The control scheme designed in this paper consists of two parts, one part is the design of controllers in the nodes and the other is the coupling term in the links. Finally, the effectiveness of the proposed control scheme is verified by a simulation example of a discrete structure system.