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

Huang, Yanli and Hou, Jie and Yang, Erfu (2019) General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction-diffusion terms. Neural Computing and Applications. ISSN 0941-0643 (https://doi.org/10.1007/s00521-019-04313-7)

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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.

ORCID iDs

Huang, Yanli, Hou, Jie and Yang, Erfu ORCID logoORCID: https://orcid.org/0000-0003-1813-5950;
CORE (COnnecting REpositories)