Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls

Autores
Choque Rivero, Abdon E; González, Graciela Adriana; Cruz Mullisaca, Efrain
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The problem of stabilizing the Rossler system in nite time by bounded controlis considered. We employ V. I. Korobov's controllability function method, whichinvolves a Lyapunov-type function. The controllability function is the solutionof an implicit equation. A family of bounded controls which solve the problemis explicitly computed. Besides, the time that it takes the trajectory to reachthe desired equilibrium is estimated.
Fil: Choque Rivero, Abdon E. Universidad Michoacana de San Nicolás de Hidalgo; México
Fil: González, Graciela Adriana. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Cruz Mullisaca, Efrain. Universidad Mayor de San Andrés; Bolivia
Materia
ROSSLER SYSTEM
KOROBOV´S CONTROLLABILITY FUNCTION
BOUNDED CONTROL
FINITE TIME STABILIZATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/169955
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/169955
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controlsChoque Rivero, Abdon EGonzález, Graciela AdrianaCruz Mullisaca, EfrainROSSLER SYSTEMKOROBOV´S CONTROLLABILITY FUNCTIONBOUNDED CONTROLFINITE TIME STABILIZATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The problem of stabilizing the Rossler system in nite time by bounded controlis considered. We employ V. I. Korobov's controllability function method, whichinvolves a Lyapunov-type function. The controllability function is the solutionof an implicit equation. A family of bounded controls which solve the problemis explicitly computed. Besides, the time that it takes the trajectory to reachthe desired equilibrium is estimated.Fil: Choque Rivero, Abdon E. Universidad Michoacana de San Nicolás de Hidalgo; MéxicoFil: González, Graciela Adriana. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Cruz Mullisaca, Efrain. Universidad Mayor de San Andrés; BoliviaKarazin Kharkiv National University2020-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/169955Choque Rivero, Abdon E; González, Graciela Adriana; Cruz Mullisaca, Efrain; Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls; Karazin Kharkiv National University; Visnyk; 91; 6-2020; 4-202221-56462523-4641CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/ 10.26565/2221-5646-2020-91-01info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:39:20Zoai:ri.conicet.gov.ar:11336/169955instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:39:20.896CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
title Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
spellingShingle Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
Choque Rivero, Abdon E
ROSSLER SYSTEM
KOROBOV´S CONTROLLABILITY FUNCTION
BOUNDED CONTROL
FINITE TIME STABILIZATION
title_short Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
title_full Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
title_fullStr Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
title_full_unstemmed Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
title_sort Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls
dc.creator.none.fl_str_mv Choque Rivero, Abdon E
González, Graciela Adriana
Cruz Mullisaca, Efrain
author Choque Rivero, Abdon E
author_facet Choque Rivero, Abdon E
González, Graciela Adriana
Cruz Mullisaca, Efrain
author_role author
author2 González, Graciela Adriana
Cruz Mullisaca, Efrain
author2_role author
author
dc.subject.none.fl_str_mv ROSSLER SYSTEM
KOROBOV´S CONTROLLABILITY FUNCTION
BOUNDED CONTROL
FINITE TIME STABILIZATION
topic ROSSLER SYSTEM
KOROBOV´S CONTROLLABILITY FUNCTION
BOUNDED CONTROL
FINITE TIME STABILIZATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The problem of stabilizing the Rossler system in nite time by bounded controlis considered. We employ V. I. Korobov's controllability function method, whichinvolves a Lyapunov-type function. The controllability function is the solutionof an implicit equation. A family of bounded controls which solve the problemis explicitly computed. Besides, the time that it takes the trajectory to reachthe desired equilibrium is estimated.
Fil: Choque Rivero, Abdon E. Universidad Michoacana de San Nicolás de Hidalgo; México
Fil: González, Graciela Adriana. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Cruz Mullisaca, Efrain. Universidad Mayor de San Andrés; Bolivia
description The problem of stabilizing the Rossler system in nite time by bounded controlis considered. We employ V. I. Korobov's controllability function method, whichinvolves a Lyapunov-type function. The controllability function is the solutionof an implicit equation. A family of bounded controls which solve the problemis explicitly computed. Besides, the time that it takes the trajectory to reachthe desired equilibrium is estimated.
publishDate 2020
dc.date.none.fl_str_mv 2020-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/169955
Choque Rivero, Abdon E; González, Graciela Adriana; Cruz Mullisaca, Efrain; Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls; Karazin Kharkiv National University; Visnyk; 91; 6-2020; 4-20
2221-5646
2523-4641
CONICET Digital
CONICET
url http://hdl.handle.net/11336/169955
identifier_str_mv Choque Rivero, Abdon E; González, Graciela Adriana; Cruz Mullisaca, Efrain; Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls; Karazin Kharkiv National University; Visnyk; 91; 6-2020; 4-20
2221-5646
2523-4641
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/ 10.26565/2221-5646-2020-91-01
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Karazin Kharkiv National University
publisher.none.fl_str_mv Karazin Kharkiv National University
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1848597436213231616
score 12.976206

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