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Neural Processing Letters

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29-04-2022

On the Weighted Pseudo Almost-Periodic Solutions of Static DMAM Neural Network

Author: Mohammed Salah M’hamdi

Published in: Neural Processing Letters | Issue 5/2022

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Abstract

This work is devoted to study a new class of static neural network. We propose a static multidirectional associative memory neural network with time-varying coefficients and delays. We assess the existence and global exponential stability of weighted pseudo almost-periodic solutions for the systems through exponential dichotomy theory, contraction mapping fixed point theorem, differential inequality techniques and weighted pseudo almost-periodic functions. The theoretical results obtained are supported with numerical simulations. To our knowledge, no paper in the literature has investigated the existence and the delay-independent stability of weighted pseudo almost-periodic solution for static delayed MAM neural network. The results obtained are new and complements that found in the literature.

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Title: On the Weighted Pseudo Almost-Periodic Solutions of Static DMAM Neural Network
Author: Mohammed Salah M’hamdi
Publication date: 29-04-2022
Publisher: Springer US
Published in: Neural Processing Letters / Issue 5/2022
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-022-10817-6

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