In this paper, finite-time synchronization between two chaotic systems with discrete
and distributed delays is investigated by using periodically intermittent memory feedback control.
Based on finite-time stability theory, some novel and effective synchronization criteria of intermit-
tent control are derived by means of linear matrix inequalities (LMIs) and differential inequality
techniques. Furthermore, a necessary condition of finite-time synchronization of intermittent con-
trol is given for neural networks with discrete and distributed delays. A numerical example on two
chaotic neural networks shows the effectiveness and correctness of the derived theoretical results.
In addition, a secure communication synchronization problem is presented to demonstrate practical
effectiveness of the proposed method.