Quasi-Synchronization of Multi-Layer Neural Networks With Additive Couplings and Event-Triggered Impulsive Control

The target of this article is studying quasi-synchronization of the heterogeneous multi-layer neural networks with event-triggered impulsive control. Combined the methods of event-triggered control and impulsive control, a controller is designed which can reduce costs and improve efficiency. The Zeno behavior of the control strategy is ruled out, and the problem of quasi-synchronization under the event-triggered impulsive control is considered. The sufficient criteria of quasi-synchronization is derived for the heterogeneous neural networks and the upper bound of synchronization errors is calculated. A corollary, in consideration of homogeneous systems and weighted undirected graphs, is provided. Finally, under the design of the controller, the numerical simulations are given to present the effectiveness and advantages of the theoretical results.