Saturated impulsive control for synchronization of coupled delayed neural networks

The paper focuses on the synchronization problem for a class of coupled neural networks with impulsive control, where the saturation structure of impulse action is fully considered. The coupled neural networks under consideration are subject to mixed delays including transmission delay and coupled delay. The sector condition in virtue of a new constraint of set inclusion is given for a addressed network, based on which a sufficient condition for exponential synchronization problem is obtained by replacing saturation nonlinearity with a dead-zone function. In the framework of saturated impulses, our results relying on the domain of attraction can still achieve the synchronization of coupled delayed neural networks. In addition, the estimating domain of attraction is proposed as large as possible by solving an optimization problem. Finally, a numerical simulation example is presented to demonstrate the effectiveness of the proposed results. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the synchronization problem for coupled neural networks with impulsive control, fully considering the saturation structure of impulse action. By introducing a new constraint of set inclusion and the corresponding sector condition, a sufficient condition for exponential synchronization is obtained by replacing saturation nonlinearity. Synchronization of coupled delayed neural networks is achieved in the framework of saturated impulses, and an optimization problem is solved to propose the estimating domain of attraction as large as possible.