Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control

Considering the fact that time delays are unavoidable in the control of practical systems, this paper considers globally exponential synchronization of complex-valued complex dynamical networks with multiple time-varying delays and stochastic perturbations by designing a time-delayed impulsive control scheme. By taking the advantage of Lyapunov method in complex field and utilizing an impulsive inequality with delays, several synchronization criteria are obtained through strict mathematical proofs. Our results are general which extend some existing ones concerning impulsive synchronization. A numerical example is given to illustrate the effectiveness of theoretical results.