Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays

In this paper, the synchronization problem of fractional-order complex-valued neural networks with discrete and distributed delays is investigated. Based on the adaptive control and Lyapunov function theory, some sufficient conditions are derived to ensure the states of two fractional-order complex-...

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Detalles Bibliográficos
Autores principales: Li, Li, Wang, Zhen, Lu, Junwei, Li, Yuxia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512617/
https://www.ncbi.nlm.nih.gov/pubmed/33265215
http://dx.doi.org/10.3390/e20020124
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author Li, Li
Wang, Zhen
Lu, Junwei
Li, Yuxia
author_facet Li, Li
Wang, Zhen
Lu, Junwei
Li, Yuxia
author_sort Li, Li
collection PubMed
description In this paper, the synchronization problem of fractional-order complex-valued neural networks with discrete and distributed delays is investigated. Based on the adaptive control and Lyapunov function theory, some sufficient conditions are derived to ensure the states of two fractional-order complex-valued neural networks with discrete and distributed delays achieve complete synchronization rapidly. Finally, numerical simulations are given to illustrate the effectiveness and feasibility of the theoretical results.
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spelling pubmed-75126172020-11-09 Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays Li, Li Wang, Zhen Lu, Junwei Li, Yuxia Entropy (Basel) Article In this paper, the synchronization problem of fractional-order complex-valued neural networks with discrete and distributed delays is investigated. Based on the adaptive control and Lyapunov function theory, some sufficient conditions are derived to ensure the states of two fractional-order complex-valued neural networks with discrete and distributed delays achieve complete synchronization rapidly. Finally, numerical simulations are given to illustrate the effectiveness and feasibility of the theoretical results. MDPI 2018-02-13 /pmc/articles/PMC7512617/ /pubmed/33265215 http://dx.doi.org/10.3390/e20020124 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Li, Li
Wang, Zhen
Lu, Junwei
Li, Yuxia
Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays
title Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays
title_full Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays
title_fullStr Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays
title_full_unstemmed Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays
title_short Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays
title_sort adaptive synchronization of fractional-order complex-valued neural networks with discrete and distributed delays
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512617/
https://www.ncbi.nlm.nih.gov/pubmed/33265215
http://dx.doi.org/10.3390/e20020124
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AT wangzhen adaptivesynchronizationoffractionalordercomplexvaluedneuralnetworkswithdiscreteanddistributeddelays
AT lujunwei adaptivesynchronizationoffractionalordercomplexvaluedneuralnetworkswithdiscreteanddistributeddelays
AT liyuxia adaptivesynchronizationoffractionalordercomplexvaluedneuralnetworkswithdiscreteanddistributeddelays

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