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Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers. Compared with the traditional neutral-type neural network model, the model in this paper is more general. A clas...

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Detalles Bibliográficos
Autores principales: Zheng, Mingwen, Li, Lixiang, Peng, Haipeng, Xiao, Jinghua, Yang, Yixian, Zhang, Yanping, Zhao, Hui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5784957/
https://www.ncbi.nlm.nih.gov/pubmed/29370248
http://dx.doi.org/10.1371/journal.pone.0191473
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author Zheng, Mingwen
Li, Lixiang
Peng, Haipeng
Xiao, Jinghua
Yang, Yixian
Zhang, Yanping
Zhao, Hui
author_facet Zheng, Mingwen
Li, Lixiang
Peng, Haipeng
Xiao, Jinghua
Yang, Yixian
Zhang, Yanping
Zhao, Hui
author_sort Zheng, Mingwen
collection PubMed
description This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers. Compared with the traditional neutral-type neural network model, the model in this paper is more general. A class of general discontinuous feedback controllers are designed. With the help of the definition of fixed-time synchronization, the upper right-hand derivative and a defined simple Lyapunov function, some easily verifiable and extensible synchronization criteria are derived to guarantee the fixed-time synchronization between the drive and response systems. Finally, two numerical simulations are given to verify the correctness of the results.
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spelling pubmed-57849572018-02-09 Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays Zheng, Mingwen Li, Lixiang Peng, Haipeng Xiao, Jinghua Yang, Yixian Zhang, Yanping Zhao, Hui PLoS One Research Article This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers. Compared with the traditional neutral-type neural network model, the model in this paper is more general. A class of general discontinuous feedback controllers are designed. With the help of the definition of fixed-time synchronization, the upper right-hand derivative and a defined simple Lyapunov function, some easily verifiable and extensible synchronization criteria are derived to guarantee the fixed-time synchronization between the drive and response systems. Finally, two numerical simulations are given to verify the correctness of the results. Public Library of Science 2018-01-25 /pmc/articles/PMC5784957/ /pubmed/29370248 http://dx.doi.org/10.1371/journal.pone.0191473 Text en © 2018 Zheng et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Zheng, Mingwen
Li, Lixiang
Peng, Haipeng
Xiao, Jinghua
Yang, Yixian
Zhang, Yanping
Zhao, Hui
Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
title Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
title_full Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
title_fullStr Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
title_full_unstemmed Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
title_short Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
title_sort globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5784957/
https://www.ncbi.nlm.nih.gov/pubmed/29370248
http://dx.doi.org/10.1371/journal.pone.0191473
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