The time-varying delay makes the state of a chaotic system more complex, which has a great influence on stability analysis and synchronization. To solve this problem, we utilize the method of adaptive intermittent control and the theory of Lyapunov stability to realize the synchronization of chaotic systems with time-varying delay. Firstly, we propose the control strategy to achieve the asymptotic exponential stability of the synchronous system under the aperiodically intermittent control. To make it easier to implement, we also propose a periodic intermittent control strategy. Finally, we choose the Lorenz and financial systems to do a numerical simulation. The experimental results verified the validity of our method.

时变时延使混沌系统的状态变得更加复杂，这对稳定性分析和同步具有很大的影响。为了解决这个问题，我们利用自适应间歇控制方法和李雅普诺夫稳定性理论，实现了时变时滞混沌系统的同步。首先，提出了一种在非周期性间歇控制下实现同步系统渐近指数稳定性的控制策略。为了使其易于实施，我们还提出了一种周期性间歇控制策略。最后，我们选择Lorenz和金融系统进行数值模拟。实验结果证明了该方法的有效性。