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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.31 No.4

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Stability on Positive Almost Periodic High-Order Hopfield Neural Networks

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.4, pp.415-425
https://doi.org/10.7468/jksmeb.2024.31.4.415
Feng Liu (Changsha University of Science and Technolog)
Feng, L. (2024). Stability on Positive Almost Periodic High-Order Hopfield Neural Networks. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(4), 415-425, https://doi.org/10.7468/jksmeb.2024.31.4.415

Abstract

This essay explores a class of almost periodic high-order Hopfield neural networks involving time-varying delays. By taking advantage of some novel differential inequality techniques, several assertions are derived to substantiate the positive exponential stability of the addressed neural networks, which refines and extends the corresponding results in some existing references. In particular, a demonstrative experiment is presented to check the effectiveness and validity of the theoretical outcomes.

keywords
high-order Hopfield neural networks, almost periodic solution, exponential stability, time-varying delay

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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