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Neural Processing Letters
Erschienen in: Neural Processing Letters 1/2023

02.06.2022

Weighted Pseudo Almost-Automorphic Solutions of Quaternion-Valued RNNs With Mixed Delays

verfasst von: Ramazan Yazgan, Salsabil Hajjaji, Farouk Chérif

Erschienen in: Neural Processing Letters | Ausgabe 1/2023

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Abstract

This work deals with a nonlinear differential equation for a quaternion-valued recurrent neural network. By using the contraction mapping principle and some differential inequalities, we directly studied the existence and the global exponential stability of weighted pseudo-almost automorphic solution for this class of quaternion-valued neural networks. Here, methods were applied without a real or a complex decomposition of the equation system. In addition, an application verifying our results and its numerical simulation was given. The generated results about the weighted pseudo-almost automorphic solution of the considered model are new.
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Metadaten
Titel
Weighted Pseudo Almost-Automorphic Solutions of Quaternion-Valued RNNs With Mixed Delays
verfasst von
Ramazan Yazgan
Salsabil Hajjaji
Farouk Chérif
Publikationsdatum
02.06.2022
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2023
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-022-10890-x

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