Synchronization control for the competitive complex networks with time delay and stochastic effects

The synchronization control problem for the competitive complex network with time delay and stochastic effects is investigated by using the stochastic technique and Lyapunov stability theory. The competitive complex network means that the dynamical varying rate of a part of nodes is faster than other nodes. Some synchronization criteria are derived by the full controller and pinning controller, respectively, and these criteria are convenient to be used for concision. A numerical example is provided to illustrate the effectiveness of the method proposed in this paper.

► Consider the time delay and stochastic effects arising from information exchange in the complex networks.
► Obtain the synchronization method by using the full controller and pinning controller, respectively.
► The obtained synchronization methods are convenient to be used for concision.