Stability analysis for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si349.svg" display="inline" id="d1e137"><mml:mi>μ</mml:mi></mml:math>-p.a.a. solutions of MAM neural network with neuron gains

The work considers the μ-p.a.a. (measure-pseudo almost automorphic) solutions of MAM neural network with neuron gains. By using the properties of μ-p.a.a. functions, inequality technique and Banach contraction mapping principle, some sufficient conditions are obtained to ensure the existence and the global exponential stability of a unique μ-p.a.a. solution of MAM neural network with neuron gains. Moreover, some numerical examples are given to illustrate our main results.

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Publication Details

Journal
Alexandria Engineering Journal
Published
2024-11-21
DOI
https://doi.org/10.1016/j.aej.2024.10.106
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Stability analysis for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si349.svg" display="inline" id="d1e137"><mml:mi>μ</mml:mi></mml:math>-p.a.a. solutions of MAM neural network with neuron gains

Fengxia Zheng, Ni Zeng, Chuan-Yun Gu
Alexandria Engineering Journal
Neural Networks and Applications
article

Stability analysis for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si349.svg" display="inline" id="d1e137"><mml:mi>μ</mml:mi></mml:math>-p.a.a. solutions of MAM neural network with neuron gains

Fengxia Zheng, Ni Zeng, Chuan-Yun Gu
article en

Abstract

The work considers the μ-p.a.a. (measure-pseudo almost automorphic) solutions of MAM neural network with neuron gains. By using the properties of μ-p.a.a. functions, inequality technique and Banach contraction mapping principle, some sufficient conditions are obtained to ensure the existence and the global exponential stability of a unique μ-p.a.a. solution of MAM neural network with neuron gains. Moreover, some numerical examples are given to illustrate our main results.

Alexandria Engineering JournalVol. 113
Natural Science Foundation of Xinjiang Province, Xihua University, Natural Science Foundation of Sichuan Province, Sichuan Province Science and Technology Support Program
Openalex Percentile: Top 81%
Neural Networks and Applications
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