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The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms

The exponential synchronization (ES) of Cohen–Grossberg stochastic neural networks with inertial terms (CGSNNIs) is studied in this paper. It is investigated in two ways. The first way is using variable substitution to transform the system to another one and then based on the properties of [Formula:...

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Detalles Bibliográficos
Autores principales: Li, Zhi-Ying, Jiang, Wang-Dong, Zhang, Yue-Hong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9159847/
https://www.ncbi.nlm.nih.gov/pubmed/35665274
http://dx.doi.org/10.1155/2022/2377664
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author Li, Zhi-Ying
Jiang, Wang-Dong
Zhang, Yue-Hong
author_facet Li, Zhi-Ying
Jiang, Wang-Dong
Zhang, Yue-Hong
author_sort Li, Zhi-Ying
collection PubMed
description The exponential synchronization (ES) of Cohen–Grossberg stochastic neural networks with inertial terms (CGSNNIs) is studied in this paper. It is investigated in two ways. The first way is using variable substitution to transform the system to another one and then based on the properties of [Formula: see text] integral, differential operator, and the second Lyapunov method to get a sufficient condition of ES. The second way is based on the second-order differential equation, the properties of calculus are used to get a sufficient condition of ES. At last, results of the theoretical derivation are verified by virtue of two numerical simulation examples.
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spelling pubmed-91598472022-06-02 The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms Li, Zhi-Ying Jiang, Wang-Dong Zhang, Yue-Hong Comput Intell Neurosci Research Article The exponential synchronization (ES) of Cohen–Grossberg stochastic neural networks with inertial terms (CGSNNIs) is studied in this paper. It is investigated in two ways. The first way is using variable substitution to transform the system to another one and then based on the properties of [Formula: see text] integral, differential operator, and the second Lyapunov method to get a sufficient condition of ES. The second way is based on the second-order differential equation, the properties of calculus are used to get a sufficient condition of ES. At last, results of the theoretical derivation are verified by virtue of two numerical simulation examples. Hindawi 2022-05-25 /pmc/articles/PMC9159847/ /pubmed/35665274 http://dx.doi.org/10.1155/2022/2377664 Text en Copyright © 2022 Zhi-Ying Li et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Zhi-Ying
Jiang, Wang-Dong
Zhang, Yue-Hong
The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms
title The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms
title_full The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms
title_fullStr The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms
title_full_unstemmed The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms
title_short The Synchronization Analysis of Cohen–Grossberg Stochastic Neural Networks with Inertial Terms
title_sort synchronization analysis of cohen–grossberg stochastic neural networks with inertial terms
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9159847/
https://www.ncbi.nlm.nih.gov/pubmed/35665274
http://dx.doi.org/10.1155/2022/2377664
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