Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique

Detalhes bibliográficos
Autor(a) principal: Njougouo, Thierry
Data de Publicação: 2022
Outros Autores: Camargo, Victor, Louodop, Patrick, Fagundes Ferreira, Fernando, Talla, Pierre K., Cerdeira, Hilda A. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1063/5.0088880
http://hdl.handle.net/11449/247696
Resumo: This paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton-Jacobi-Bellman technique, the optimal control law with a three-state variable feedback is designed such that the trajectories of all the Rössler oscillators in the network are optimally synchronized at each level. Furthermore, we provide numerical simulations to demonstrate the effectiveness of the proposed approach for the cases of one and three networks. A perfect correlation between the MATLAB and PSpice results was obtained, thus allowing the experimental validation of our designed controller and shows the effectiveness of the theoretical results.
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spelling Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) techniqueThis paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton-Jacobi-Bellman technique, the optimal control law with a three-state variable feedback is designed such that the trajectories of all the Rössler oscillators in the network are optimally synchronized at each level. Furthermore, we provide numerical simulations to demonstrate the effectiveness of the proposed approach for the cases of one and three networks. A perfect correlation between the MATLAB and PSpice results was obtained, thus allowing the experimental validation of our designed controller and shows the effectiveness of the theoretical results.Research Unit Condensed Matter Electronics and Signal Processing University of Dschang, P.O. Box 67Faculty of Computer Science University of Namur, Rue Gandgagnage 21MoCLiS Research GroupCenter for Interdisciplinary Research on Complex Systems University of Sao Paulo, Av. Arlindo Bettio 1000Department of Physics-FFCLRP University of São Paulo, SPL2MSP University of Dschang, P.O. Box 67Instituto de Física Teórica São Paulo State University (UNESP), Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra FundaInstituto de Física Teórica São Paulo State University (UNESP), Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra FundaUniversity of DschangUniversity of NamurMoCLiS Research GroupUniversidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Njougouo, ThierryCamargo, VictorLouodop, PatrickFagundes Ferreira, FernandoTalla, Pierre K.Cerdeira, Hilda A. [UNESP]2023-07-29T13:23:21Z2023-07-29T13:23:21Z2022-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1063/5.0088880Chaos, v. 32, n. 9, 2022.1089-76821054-1500http://hdl.handle.net/11449/24769610.1063/5.00888802-s2.0-85139112663Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChaosinfo:eu-repo/semantics/openAccess2023-07-29T13:23:21Zoai:repositorio.unesp.br:11449/247696Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:19:52.762978Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
title Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
spellingShingle Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
Njougouo, Thierry
title_short Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
title_full Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
title_fullStr Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
title_full_unstemmed Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
title_sort Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
author Njougouo, Thierry
author_facet Njougouo, Thierry
Camargo, Victor
Louodop, Patrick
Fagundes Ferreira, Fernando
Talla, Pierre K.
Cerdeira, Hilda A. [UNESP]
author_role author
author2 Camargo, Victor
Louodop, Patrick
Fagundes Ferreira, Fernando
Talla, Pierre K.
Cerdeira, Hilda A. [UNESP]
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv University of Dschang
University of Namur
MoCLiS Research Group
Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Njougouo, Thierry
Camargo, Victor
Louodop, Patrick
Fagundes Ferreira, Fernando
Talla, Pierre K.
Cerdeira, Hilda A. [UNESP]
description This paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton-Jacobi-Bellman technique, the optimal control law with a three-state variable feedback is designed such that the trajectories of all the Rössler oscillators in the network are optimally synchronized at each level. Furthermore, we provide numerical simulations to demonstrate the effectiveness of the proposed approach for the cases of one and three networks. A perfect correlation between the MATLAB and PSpice results was obtained, thus allowing the experimental validation of our designed controller and shows the effectiveness of the theoretical results.
publishDate 2022
dc.date.none.fl_str_mv 2022-09-01
2023-07-29T13:23:21Z
2023-07-29T13:23:21Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1063/5.0088880
Chaos, v. 32, n. 9, 2022.
1089-7682
1054-1500
http://hdl.handle.net/11449/247696
10.1063/5.0088880
2-s2.0-85139112663
url http://dx.doi.org/10.1063/5.0088880
http://hdl.handle.net/11449/247696
identifier_str_mv Chaos, v. 32, n. 9, 2022.
1089-7682
1054-1500
10.1063/5.0088880
2-s2.0-85139112663
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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