Synchronization of a Class of Time-varying Delay Chaotic Systems with External Disturbances via Impulsive Intermittent Control

The main goal of this article is to consider the synchronization of a class of chaotic systems with time-varying delay and external disturbances. A new control method, which is the impulsive intermittent control strategy, is proposed. In our control scheme, the time interval between impulsive control and intermittent control is variable. In addition, the “working time” interval and the “rest time” interval of intermittent control are also changeable. By designing an impulsive intermittent controller, a new asymptotic stability theorem is obtained to ensure the asymptotic synchronization of a class of time-varying delay chaotic systems with variable external disturbances. Numerical simulations are given to demonstrate the applicability and validity of the proposed scheme.