Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks

Abstract EN

We investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation.

Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stochastic synchronization and topology identification of complex networks.

Sufficient conditions are given to ensure the complex networks to be mean square synchronization.

Furthermore, numerical simulations are also given to demonstrate the effectiveness of the proposed scheme.