Adaptive synchronization of chaotic systems with time-varying delay via aperiodically intermittent control

摘要

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.