Cluster synchronization of a fractional order complex dynamical network using sliding mode control

摘要

A novel approach is presented in this paper using fractional order sliding mode control for synchronization of clustered fractional order complex dynamical networks. The synchroniz ability is proved using Lyapunov stability theory. The proposed method is analyzed and simulated on a complex dynamical network of two clusters. Each node in the cluster is a Lorenz chaotic dynamical system. The simulation has shown the network converges to the stable point in a short period of time.