Finite-time generalized matrix projective lag synchronization between two different complex dynamical networks with stochastic perturbations

In this paper, the finite-time generalized matrix projective lag stochastic synchronization between two complex dynamical networks with nonidentical dimensions and noise perturbation is researched. On the basis of the finite-time stability theorem and the Itô´s lemma of Weiner process, a satisfactory finite-time nonlinear feedback controller and an appropriate sufficient condition are obtained to ensure synchronization under stochastic perturbations. Finally, a numerical example is simulated to demonstrate the effectiveness of our research.