Synchronization of complex dynamical networks with stochastic delays

A class of complex dynamical networks with stochastic coupling delays is proposed in this paper. The occurrence probability distribution of the stochastic delay is assumed to be known in prior. By utilizing a novel Lyapunov-Krasovskii function and stochastic analysis techniques, a sufficient criterion for the asymptotical synchronization in the mean square is obtained in the form of linear matrix inequalities, and the derived condition depends not only on the delay bounds, but also on the occurrence probability distribution of the delay. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.