Pinning impulsive cluster synchronization of complex dynamical network

Synchronization of complex dynamical network has been a hot topic for its practical applications. In this paper, the pinning impulsive cluster synchronization of complex dynamical network is investigated. Based on the theories of Lyapunov stability and impulsive differential equations, our pinning impulsive control strategy is proved to be correct and effective for realizing cluster synchronization once the sufficient condition given in the theorem is satisfied, and is also universal for different dynamical networks. Moreover, some numerical simulations are performed to show that our control strategy is quite effective and convenient. (C) 2019 Elsevier B.V. All rights reserved.