Event-triggered pinning synchronization of stochastic complex dynamical networks

Abstract

This article mainly investigates the synchronization of stochastic complex dynamical networks. In order to attain required synchronization behavior of the complex dynamical networks, this paper designs a pinning control strategy controlling a part of nodes. Furthermore, combined with the event-triggered mechanism, the frequency of the communication is reduced. A framework of complex dynamical network is established, which reflects the nonlinearity and randomness of the numerous nodes of complex networks. By employing the Lyapunov-Krasovskii method, the stability criteria which guarantees the required synchronization of complex dynamical network is derived. The numerical example is given to show the effectiveness of the proposed method.