Synchronization of delayed coupled discrete-time complex networks via impulsive control

In this brief, exponential synchronization problem is investigated for an array of delayed coupled complex networks under impulsive control. In previous literature, it is well known that impulsive control has been proved to be simple and effective for synchronization control of continuous-time complex networks. We will show that impulsive control is also simple and effective for synchronization control of discrete-time networks. By using the mathematical induction method and the average impulsive interval, a criterion is derived to guarantee that complex networks are synchronized. This criterion can control of the impulsive minimum frequency in order to synchronize the systems. Finally, one example is given to show the simplification and effectiveness of the proposed approach.