General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction-diffusion terms

Yanli Huang, Jie Hou, Erfu Yang

Research output: Contribution to journalArticle

Abstract

The network models of multi-weighted coupled neural networks (MWCNNs) and multi-weighted coupled reaction-diffusion neural networks (MWCRDNNs) with and without delayed coupling are presented in this paper, respectively. Firstly, on account of the definitions of ψ-type stability and ψ-type function, the concept of decay anti-synchronization is proposed. Then, we investigate the decay anti-synchronization of MWCNNs with and without delayed coupling by designing appropriate nonlinear controllers, and several criteria for ensuring decay anti-synchronization are inferred by means of Lyapunov functional method as well as inequality techniques. Similarly, some conditions for decay anti-synchronization of MWCRDNNs with and without delayed coupling are also respectively derived. Lastly, two numerical examples with simulations are given to validate the correctness of these derived results.
LanguageEnglish
Number of pages14
JournalNeural Computing and Applications
Early online date11 Jul 2019
DOIs
Publication statusE-pub ahead of print - 11 Jul 2019

Fingerprint

Synchronization
Neural networks
Controllers

Keywords

  • general decay anti-synchronization
  • MWCNNs
  • nonlinear control
  • delayed coupling
  • reaction-diffusion terms

Cite this

@article{f4e933a3f1854cf3a1d0d3ab73be91cb,
title = "General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction-diffusion terms",
abstract = "The network models of multi-weighted coupled neural networks (MWCNNs) and multi-weighted coupled reaction-diffusion neural networks (MWCRDNNs) with and without delayed coupling are presented in this paper, respectively. Firstly, on account of the definitions of ψ-type stability and ψ-type function, the concept of decay anti-synchronization is proposed. Then, we investigate the decay anti-synchronization of MWCNNs with and without delayed coupling by designing appropriate nonlinear controllers, and several criteria for ensuring decay anti-synchronization are inferred by means of Lyapunov functional method as well as inequality techniques. Similarly, some conditions for decay anti-synchronization of MWCRDNNs with and without delayed coupling are also respectively derived. Lastly, two numerical examples with simulations are given to validate the correctness of these derived results.",
keywords = "general decay anti-synchronization, MWCNNs, nonlinear control, delayed coupling, reaction-diffusion terms",
author = "Yanli Huang and Jie Hou and Erfu Yang",
year = "2019",
month = "7",
day = "11",
doi = "10.1007/s00521-019-04313-7",
language = "English",
journal = "Neural Computing and Applications",
issn = "0941-0643",

}

TY - JOUR

T1 - General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction-diffusion terms

AU - Huang, Yanli

AU - Hou, Jie

AU - Yang, Erfu

PY - 2019/7/11

Y1 - 2019/7/11

N2 - The network models of multi-weighted coupled neural networks (MWCNNs) and multi-weighted coupled reaction-diffusion neural networks (MWCRDNNs) with and without delayed coupling are presented in this paper, respectively. Firstly, on account of the definitions of ψ-type stability and ψ-type function, the concept of decay anti-synchronization is proposed. Then, we investigate the decay anti-synchronization of MWCNNs with and without delayed coupling by designing appropriate nonlinear controllers, and several criteria for ensuring decay anti-synchronization are inferred by means of Lyapunov functional method as well as inequality techniques. Similarly, some conditions for decay anti-synchronization of MWCRDNNs with and without delayed coupling are also respectively derived. Lastly, two numerical examples with simulations are given to validate the correctness of these derived results.

AB - The network models of multi-weighted coupled neural networks (MWCNNs) and multi-weighted coupled reaction-diffusion neural networks (MWCRDNNs) with and without delayed coupling are presented in this paper, respectively. Firstly, on account of the definitions of ψ-type stability and ψ-type function, the concept of decay anti-synchronization is proposed. Then, we investigate the decay anti-synchronization of MWCNNs with and without delayed coupling by designing appropriate nonlinear controllers, and several criteria for ensuring decay anti-synchronization are inferred by means of Lyapunov functional method as well as inequality techniques. Similarly, some conditions for decay anti-synchronization of MWCRDNNs with and without delayed coupling are also respectively derived. Lastly, two numerical examples with simulations are given to validate the correctness of these derived results.

KW - general decay anti-synchronization

KW - MWCNNs

KW - nonlinear control

KW - delayed coupling

KW - reaction-diffusion terms

UR - https://link.springer.com/journal/521

U2 - 10.1007/s00521-019-04313-7

DO - 10.1007/s00521-019-04313-7

M3 - Article

JO - Neural Computing and Applications

T2 - Neural Computing and Applications

JF - Neural Computing and Applications

SN - 0941-0643

ER -