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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:...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi
2022
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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. |
format | Online Article Text |
id | pubmed-9159847 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Hindawi |
record_format | MEDLINE/PubMed |
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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