Stochastic adaptive synchronization for time-varying complex delayed dynamical networks with heterogeneous nodes

Stochastic synchronization for a time-varying complex delayed dynamical networks with heterogeneous nodes is studied in this paper, using adaptive synchronization scheme for detailed analysis and discussion. Based on Lyapunov stability theory, the properties of Weiner process (Brownian motions), some controllers and adaptive laws are designed to ensure achieving stochastic synchronization of the complex delayed dynamical networks model. A sufficient condition is given to ensure that the proposed controlled networks model is globally asymptotically synchronized in mean square sense. A simulation example is presented to show the effectiveness and applicability of the proposed results.