A STUDY ON THE STABILITY OF A FEEDBACK NEURAL NETWORK USING THE LYAPUNOV METHOD

The paper considers an artificial neural network with feedback described by a system of nonlinear differential equations. The stability of a neural network is studied using the Lyapunov function method. The conditions under which the neural network reaches a stationary state are given.

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Publication Details

Published
2025-06-15
DOI
https://doi.org/10.21667/978-5-7722-0427-6-15-22
Primary Topic
Neural Networks and Applications
Type
article
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article

A STUDY ON THE STABILITY OF A FEEDBACK NEURAL NETWORK USING THE LYAPUNOV METHOD

S.A. Nelukhin
Neural Networks and Applications
article

A STUDY ON THE STABILITY OF A FEEDBACK NEURAL NETWORK USING THE LYAPUNOV METHOD

S.A. Nelukhin
article en

Abstract

The paper considers an artificial neural network with feedback described by a system of nonlinear differential equations. The stability of a neural network is studied using the Lyapunov function method. The conditions under which the neural network reaches a stationary state are given.

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Neural Networks and Applications
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A STUDY ON THE STABILITY OF A FEEDBACK NEURAL NETWORK USING THE LYAPUNOV METHOD — S.A. Nelukhin · (2025) | TGRS Research Map | TGRS