A New Controller Controlling the Synchronous Communication between Different Chua's Circuits

Abstract

A new controller is presented for the chaotic synchronization and secure communication problems of two Chua’s systems in application. The method of forming controller is given in the paper. And it is analysed and proved by using Lyapunov stability theory that the new controller can control the error of two different Chua’s chaotic systems to be asymptotically stabile. Finally under the control of controller, a lot of computer simulation experiments are done by using Matlab for the synchronous communications between the different structure Chua’s systems, and between the different state Chua’s systems and so on. The simulation results demonstrate the effectiveness of the controller.