Finite-time complete periodic synchronization of memristive neural networks with mixed delays

In this paper we study the oscillatory behavior of a new class of memristor based neural networks with mixed delays and we prove the existence and uniqueness of the periodic solution of the system based on the concept of Filippov solutions of the differential equation with discontinuous right-hand s...

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Autores principales: Brahmi, Hajer, Ammar, Boudour, Ksibi, Amel, Cherif, Farouk, Aldehim, Ghadah, Alimi, Adel M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10397264/
https://www.ncbi.nlm.nih.gov/pubmed/37532702
http://dx.doi.org/10.1038/s41598-023-37737-2
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author Brahmi, Hajer
Ammar, Boudour
Ksibi, Amel
Cherif, Farouk
Aldehim, Ghadah
Alimi, Adel M.
author_facet Brahmi, Hajer
Ammar, Boudour
Ksibi, Amel
Cherif, Farouk
Aldehim, Ghadah
Alimi, Adel M.
author_sort Brahmi, Hajer
collection PubMed
description In this paper we study the oscillatory behavior of a new class of memristor based neural networks with mixed delays and we prove the existence and uniqueness of the periodic solution of the system based on the concept of Filippov solutions of the differential equation with discontinuous right-hand side. In addition, some assumptions are determined to guarantee the globally exponentially stability of the solution. Then, we study the adaptive finite-time complete periodic synchronization problem and by applying Lyapunov–Krasovskii functional approach, a new adaptive controller and adaptive update rule have been developed. A useful finite-time complete synchronization condition is established in terms of linear matrix inequalities. Finally, an illustrative simulation is given to substantiate the main results.
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spelling pubmed-103972642023-08-04 Finite-time complete periodic synchronization of memristive neural networks with mixed delays Brahmi, Hajer Ammar, Boudour Ksibi, Amel Cherif, Farouk Aldehim, Ghadah Alimi, Adel M. Sci Rep Article In this paper we study the oscillatory behavior of a new class of memristor based neural networks with mixed delays and we prove the existence and uniqueness of the periodic solution of the system based on the concept of Filippov solutions of the differential equation with discontinuous right-hand side. In addition, some assumptions are determined to guarantee the globally exponentially stability of the solution. Then, we study the adaptive finite-time complete periodic synchronization problem and by applying Lyapunov–Krasovskii functional approach, a new adaptive controller and adaptive update rule have been developed. A useful finite-time complete synchronization condition is established in terms of linear matrix inequalities. Finally, an illustrative simulation is given to substantiate the main results. Nature Publishing Group UK 2023-08-02 /pmc/articles/PMC10397264/ /pubmed/37532702 http://dx.doi.org/10.1038/s41598-023-37737-2 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Brahmi, Hajer
Ammar, Boudour
Ksibi, Amel
Cherif, Farouk
Aldehim, Ghadah
Alimi, Adel M.
Finite-time complete periodic synchronization of memristive neural networks with mixed delays
title Finite-time complete periodic synchronization of memristive neural networks with mixed delays
title_full Finite-time complete periodic synchronization of memristive neural networks with mixed delays
title_fullStr Finite-time complete periodic synchronization of memristive neural networks with mixed delays
title_full_unstemmed Finite-time complete periodic synchronization of memristive neural networks with mixed delays
title_short Finite-time complete periodic synchronization of memristive neural networks with mixed delays
title_sort finite-time complete periodic synchronization of memristive neural networks with mixed delays
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10397264/
https://www.ncbi.nlm.nih.gov/pubmed/37532702
http://dx.doi.org/10.1038/s41598-023-37737-2
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