Impulsive Control And Synchronization For Several Chaotic Systems

Impulsive control, as a classical and effective control method, has been applied to the control and synchronization of many complex systems. This dissertation considers impulsive control and synchronization problem of two types different chaotic systems. It includes the following problems:â‘ This paper is concerned with a new chaotic system-Qi system. Based on the stability theory of impulsive differential equations and impulsive control technique, a sufficient condition for the system be controlled to the equilibrium point is obtained. At the same time, the stability theory of impulsive synchronization of two Qi systems is presented. Finally, an illustrative example is provided to show the effectiveness of the proposed method.â‘¡This paper is concerned with a classical chaotic system-Chen system. Considers the special structure, based on stability theory of impulsive differential equations and impulsive control technique, a sufficient condition for the system be controlled to the equilibrium point is obtained. At the same time, the stability theory of impulsive synchronization of two Chen systems is presented. Finally, an illustrative example is provided to show the effectiveness of the proposed method.