Exponential Synchronization of Nonlinear Systems with Delay via Aperiodically Intermittent Control

In the paper, the synchronization control scheme of nonlinear systems with delay are introduced by using aperiodically intermittent control. When control ratios of control width to total time width are equal in any time interval, feasibility of the control scheme is studied. Moreover, the rigorous mathematical proofs of the global exponential synchronization are given. Delayed Chua's circuit and a neural network are employed to evaluate the performances of the control scheme. The experimental results indicate that the proposed scheme successfully achieves synchronizations with flexibility and effectiveness.