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.
| Original language | English |
|---|---|
| Number of pages | 14 |
| Journal | Neural Computing and Applications |
| Early online date | 11 Jul 2019 |
| DOIs | |
| Publication status | E-pub ahead of print - 11 Jul 2019 |
Keywords
- general decay anti-synchronization
- MWCNNs
- nonlinear control
- delayed coupling
- reaction-diffusion terms