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Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control

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1-s2.0-S1007570419302266-main.pdf (5.32 MB)

Date

2019-12

Authors

Xie, Xiang
Liu, Xinzhi
Xu, Honglei
Luo, Xiaobing
Liu, Genfan

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken into account, respectively. By using the Lyapunov–Krasovskii method, the relations among impulsive gains, pinned node numbers, impulsive intervals, impulsive instants and time delays are derived. Exponential synchronization criteria are established for the delayed coupled reaction-diffusion neural networks. Our results show that synchronization of the neural networks can be achieved by controlling a small portion of nodes in the networks via delayed impulses. Numerical examples are provided to demonstrate the effectiveness of the theoretical results.

Description

The final publication is available at Elsevier via https://doi.org/10.1016/j.cnsns.2019.104905. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

impulsive control, neural network, pinning control, reaction-diffusion

LC Keywords

Citation

URI

https://doi.org/10.1016/j.cnsns.2019.104905
 http://hdl.handle.net/10012/15899

Collections

Waterloo Research
Applied Mathematics