Abstract
In this paper, the ψ-type stability and robust ψ-type stability for reaction–diffusion neural networks (RDNNs) with Dirichlet boundary conditions, time-varying discrete delays and bounded distributed delays are investigated, respectively. Firstly, we analyze the ψ-type stability and robust ψ-type stability of RDNNs with time-varying discrete delays by means of ψ-type functions combined with some inequality techniques, and put forward several ψ-type stability criteria for the considered networks. Additionally, the models of RDNNs with bounded distributed delays are established and some sufficient conditions to guarantee the ψ-type stability and robust ψ-type stability are given. Lastly, two examples are provided to confirm the effectiveness of the derived results.
| Original language | English |
|---|---|
| Pages (from-to) | 281-293 |
| Number of pages | 13 |
| Journal | Neurocomputing |
| Volume | 340 |
| Early online date | 6 Mar 2019 |
| DOIs | |
| Publication status | Published - 7 May 2019 |
Keywords
- bounded distributed delays
- reaction–diffusion neural networks
- time-varying discrete delays
- ψ-type stability