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.

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