Chaos synchronization of regular network based on sliding mode control

Abstract

Sliding mode control method is used to study the synchronization of regular network. The method is extended from the single chaos control or synchronization between two chaotic systems to the synchronization of complex network. The sliding surface of the network and the control input are designed. Furthermore, the effectiveness of the method is analyzed based on the stability theory. The Duffing system and the Coullet system are taken as network nodes of the regular network, and the simulation is made to verify the method.