Synchronization of Two Nonidentical Complex Dynamical Networks via Periodically Intermittent Pinning

Abstract

Here, the exponential synchronization about mean square problem of two complex dynamical networks with stochastic perturbations is investigated. A novel drive-response complex network model is formulated which is linear coupling with both time-varying delay and non-delay, meanwhile, this model also includes stochastic perturbations of vector-form. Based on the Lyapunov steady theory, stochastic differential equations, and matrix theory, several effective synchronous conditions are obtained to ensure exponential synchronization in mean square of the proposed complex dynamical networks by periodically intermittent pinning. Finally, several numerical simulations are performed to verify the theoretical results and the control methodology.