Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays

This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficient conditions are derived for the existence and global exponential stability of pseudo almo...

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Detalles Bibliográficos
Autores principales: Meng, Xiaofang, Li, Yongkun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154083/
https://www.ncbi.nlm.nih.gov/pubmed/30839647
http://dx.doi.org/10.1186/s13660-018-1837-1
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author Meng, Xiaofang
Li, Yongkun
author_facet Meng, Xiaofang
Li, Yongkun
author_sort Meng, Xiaofang
collection PubMed
description This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficient conditions are derived for the existence and global exponential stability of pseudo almost periodic solutions of this class of neural networks. Finally, a numerical example is given to illustrate the feasibility of the obtained results.
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spelling pubmed-61540832018-10-10 Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays Meng, Xiaofang Li, Yongkun J Inequal Appl Research This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficient conditions are derived for the existence and global exponential stability of pseudo almost periodic solutions of this class of neural networks. Finally, a numerical example is given to illustrate the feasibility of the obtained results. Springer International Publishing 2018-09-19 2018 /pmc/articles/PMC6154083/ /pubmed/30839647 http://dx.doi.org/10.1186/s13660-018-1837-1 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Meng, Xiaofang
Li, Yongkun
Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
title Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
title_full Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
title_fullStr Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
title_full_unstemmed Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
title_short Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
title_sort pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154083/
https://www.ncbi.nlm.nih.gov/pubmed/30839647
http://dx.doi.org/10.1186/s13660-018-1837-1
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AT liyongkun pseudoalmostperiodicsolutionsforquaternionvaluedcellularneuralnetworkswithdiscreteanddistributeddelays

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