Complex hybrid synchronization of complex-variable dynamical network via impulsive control

In this paper, complex hybrid synchronization of network coupled with complex-variable chaotic systems is investigated. The complex-variable dynamical network is synchronized onto a given orbit with respect to a complex matrix using impulsive control. Adaptive strategy is adopted to design adaptive impulsive controllers, which is universal for different dynamical networks. Further, it can relax the restriction on impulsive intervals. Based on impulsive stability theory and Lyapunov function method, several synchronization criteria for achieving complex hybrid synchronization are derived. Numerical examples are provided to show the effectiveness of the theoretical results.