Synchronization of a Fourth-order Hyperchaotic System by Intermittent Control with Double Impulses

In this paper, we describe a hyperchaotic system with time-delay. The process of the system is composed of a drive system and a response system, which is controlled by an intermittent mode. Double impulses are added to enhance the control, which is closer to the actual situation. According to Lyapunov stability theory, Linear Matrix Inequality (LMI), double impulses and intermittent control theory, and considering the approximation method of delay equation, an exponential synchronization condition of error system is given. The validity of the conclusion is realized by computer simulation.