A systematic method for complete stability problem of a class of delayed neural networks in parameter space
This paper presents a systematic method to address the complete stability problem of delayed neural networks with heterogeneous free parameters. First, we adopt an algebraic method to investigate the complete stability problem with respect to the free delay parameter τ. Then, the stability analysis...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Neurális hálózatok, Differenciálegyenlet - késleltetett |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.52 |
| Online Access: | http://acta.bibl.u-szeged.hu/88932 |
| Tartalmi kivonat: | This paper presents a systematic method to address the complete stability problem of delayed neural networks with heterogeneous free parameters. First, we adopt an algebraic method to investigate the complete stability problem with respect to the free delay parameter τ. Then, the stability analysis is extended to the scenario with additional free system parameters, denoted by a vector X. We can investigate the complete root classification for the auxiliary characteristic equation in the entire (X, τ)- space. As a result, we can analytically calculate the number of stability τ-intervals and characterize all classifications of stability property over the whole (X, τ)-space. Finally, we will give a systematic method for determining the stability set in the whole (X, τ)- space. Some representative examples show the effectiveness of the approach. |
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| Terjedelem/Fizikai jellemzők: | 24 |
| ISSN: | 1417-3875 |