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Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays

Finite time synchronization, which means synchronization can be achieved in a settling time, is desirable in some practical applications. However, most of the published results on finite time synchronization don’t include delays or only include discrete delays. In view of the fact that distributed d...

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Detalles Bibliográficos
Autores principales: Chen, Chuan, Li, Lixiang, Peng, Haipeng, Yang, Yixian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5607209/
https://www.ncbi.nlm.nih.gov/pubmed/28931066
http://dx.doi.org/10.1371/journal.pone.0185007
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author Chen, Chuan
Li, Lixiang
Peng, Haipeng
Yang, Yixian
author_facet Chen, Chuan
Li, Lixiang
Peng, Haipeng
Yang, Yixian
author_sort Chen, Chuan
collection PubMed
description Finite time synchronization, which means synchronization can be achieved in a settling time, is desirable in some practical applications. However, most of the published results on finite time synchronization don’t include delays or only include discrete delays. In view of the fact that distributed delays inevitably exist in neural networks, this paper aims to investigate the finite time synchronization of memristor-based Cohen-Grossberg neural networks (MCGNNs) with both discrete delay and distributed delay (mixed delays). By means of a simple feedback controller and novel finite time synchronization analysis methods, several new criteria are derived to ensure the finite time synchronization of MCGNNs with mixed delays. The obtained criteria are very concise and easy to verify. Numerical simulations are presented to demonstrate the effectiveness of our theoretical results.
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spelling pubmed-56072092017-10-09 Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays Chen, Chuan Li, Lixiang Peng, Haipeng Yang, Yixian PLoS One Research Article Finite time synchronization, which means synchronization can be achieved in a settling time, is desirable in some practical applications. However, most of the published results on finite time synchronization don’t include delays or only include discrete delays. In view of the fact that distributed delays inevitably exist in neural networks, this paper aims to investigate the finite time synchronization of memristor-based Cohen-Grossberg neural networks (MCGNNs) with both discrete delay and distributed delay (mixed delays). By means of a simple feedback controller and novel finite time synchronization analysis methods, several new criteria are derived to ensure the finite time synchronization of MCGNNs with mixed delays. The obtained criteria are very concise and easy to verify. Numerical simulations are presented to demonstrate the effectiveness of our theoretical results. Public Library of Science 2017-09-20 /pmc/articles/PMC5607209/ /pubmed/28931066 http://dx.doi.org/10.1371/journal.pone.0185007 Text en © 2017 Chen 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
Chen, Chuan
Li, Lixiang
Peng, Haipeng
Yang, Yixian
Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays
title Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays
title_full Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays
title_fullStr Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays
title_full_unstemmed Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays
title_short Finite time synchronization of memristor-based Cohen-Grossberg neural networks with mixed delays
title_sort finite time synchronization of memristor-based cohen-grossberg neural networks with mixed delays
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5607209/
https://www.ncbi.nlm.nih.gov/pubmed/28931066
http://dx.doi.org/10.1371/journal.pone.0185007
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