Controlling stability through the rate of decay of the delay feedback kernels

Autor: Mohammed D. Kassim
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 11, Pp 26343-26356 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231344?viewType=HTML
Popis: Of concern is the Hopfield neural network system comprising discrete as well as distributed delays in the form of a convolution. For a desired convergence rate of the solution to the equilibrium state, we establish sufficient conditions on the delay kernels ensuring this matter. Our result improves an existing one in the literature. The adopted approach is completely different. It relies on a judicious choice of a Lyapunov-like function and careful manipulations.
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