Synchronization of bidirection multiple neural networks with impulsive coupling control

Advances in Difference Equations

article

Wang, Yong¹  Wu, Ailong²  Li, Biwen² 

[1] College of Applied Mathematics, Hubei Normal University;College of Mathematics and Statistics, Hubei Normal University

关键词: Multiple neural networks;    Impulsive coupling control;    Synchronization;    Coupling strength;    Variable topology;   

DOI  :  10.1186/s13662-020-02796-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is devoted to the study of the global synchronization of multiple neural networks (MNNs) via impulsive coupling control. Compared to one-layer neural networks, MNNs have more complex dynamics behavior and greater practical significance. In this paper, two interconnected bidirection MNNs are constructed; for this type of neural network system, each node in their network will be affected by the corresponding node in another network, then the synchronization problem of unidirection MNNs is extended to bidirection MNNs. In order to achieve synchronization of the bidirection MNNs, we adopt the method of impulsive coupling control, and together with the appropriate Lyapunov function, we deduce the relationship of the synchronization error system at the adjacent two impulsive moments, through iteration, and we finally obtain sufficient conditions to realize the global synchronization of the two interconnected bidirection MNNs. We illustrate the effectiveness of the results by simulation.

【 授权许可】

CC BY