Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters

Abstract Outer synchronization between different complex dynamical networks has received wide attention. In this paper, we investigate the outer synchronization between delayed coupling networks with different node dynamics and uncertain parameters. Based on the Lyapunov stability theory, the synchronization can be realized by adding some controllers. In our network model, the node dynamics are different and the parameters of the response network are uncertain. By using an identification law, the parameters of the response network are identified simultaneously when the synchronization is realized. Furthermore, some numerical simulations are given to show the validity of our control strategies.