Systems of Neutral Type Equations and a Model of HopfieldNeural Network Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2025, Volume: 35, Number: 4, Pages: 324-342 Pages count : 19 DOI: 10.1134/s1055134425040042 | ||||
| Tags | neutral type differential equations, model of Hopfield neural network, Lyapunov–Krasovski˘ı functional, estimates of solutions, exponential stability | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-21-00367 |
Abstract:
In the present article, we consider a model of Hopfield neural network described by a system of neutral type differential equations with several delays. We use the method of Lyapunov–Krasovskiı˘ functionals and find conditions on parameters of this model that guarantee exponential
stability of the stationary solution to the system. Under these conditions, we obtain estimates characterizing stabilization rate of solutions at the infinity
Cite:
Skvortsova M.A.
Systems of Neutral Type Equations and a Model of HopfieldNeural Network
Siberian Advances in Mathematics. 2025. V.35. N4. P.324-342. DOI: 10.1134/s1055134425040042 Scopus OpenAlex
Systems of Neutral Type Equations and a Model of HopfieldNeural Network
Siberian Advances in Mathematics. 2025. V.35. N4. P.324-342. DOI: 10.1134/s1055134425040042 Scopus OpenAlex
Original:
Скворцова М.А.
Системы уравнений нейтрального типа и модель нейронной сети Хопфилда
Математические труды. 2025. Т.28. №3. С.95-124. DOI: 10.25205/1560-750X-2025-28-3-95-124 РИНЦ OpenAlex
Системы уравнений нейтрального типа и модель нейронной сети Хопфилда
Математические труды. 2025. Т.28. №3. С.95-124. DOI: 10.25205/1560-750X-2025-28-3-95-124 РИНЦ OpenAlex
Dates:
| Submitted: | Jul 17, 2025 |
| Published print: | Dec 22, 2025 |
| Published online: | Dec 22, 2025 |
| Accepted: | Dec 24, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105025406448 |
| OpenAlex: | W7116732387 |
Citing:
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