Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , , , |
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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Repositório Institucional da UNESP |
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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 |
|
_version_ |
1808128634435665920 |