Synchronization of Stochastic Complex Dynamical Networks with Mixed Time-Varying Coupling Delays

摘要

Synchronization of complex networks with mixed time-varying coupling delays and stochastic perturbation. We constructed a novel Lyapunov functional with triple integral terms. By applying Jensen’s inequality and Lyapunov stability theory stability conditions are derived to check the asymptotical stability of the concerned system. By employing the stochastic evaluation and Kronecker product delay-dependent synchronization criteria of stochastic complex dynamical networks are derived. By using the derived conditions control gain matrix is obtained. Finally, numerical results are presented to demonstrate the effectiveness and usefulness of the proposed results.