| Autor: |
Xiaohui Xu, Jibin Yang, Quan Xu, Yanhai Xu, Shulei Sun |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-27 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1687-1847 |
| DOI: |
10.1186/s13662-020-03184-w |
| Popis: |
Abstract In this study, we investigate reaction-diffusion complex-valued neural networks with mixed delays. The mixed delays include both time-varying and infinite distributed delays. Criteria are derived to ensure the existence, uniqueness, and exponential stability of the equilibrium state of the addressed system on the basis of the M-matrix properties and homeomorphism mapping theories as well as the vector Lyapunov function method. The results demonstrate the positive effect of reaction-diffusion on the stability, which further improves the existing conditions. Finally, the analysis of several examples is compared to the present results to verify the correctness and reduced conservatism of the primary results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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