Outer synchronization for a class of discrete-time complex dynamic networks with unknown bounded interaction

This article investigates the outer synchronization for the two discrete-time complex dynamic networks. First, the more universal mathematical models of the networks with unknown coupling and interaction are proposed. Then, based on the available state of networks and the estimation of summarized unknown parameters shown in the models, the adaptive state feedback controller is synthesized to make the outer synchronization error of two networks converge asymptotically to an arbitrarily small neighborhood at the origin. Finally, the results of simulation show the validity and advantages of the controller.

Automated summary

This article investigates the outer synchronization for two discrete-time complex dynamic networks. The more universal mathematical models of the networks with unknown coupling and interaction are proposed, and an adaptive state feedback controller is synthesized based on the available state of networks and the estimation of summarized unknown parameters. The simulation results demonstrate the validity and advantages of the controller.