A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces

Detalhes bibliográficos
Autor(a) principal: Ledesma, Diego S.
Data de Publicação: 2018
Outros Autores: Silva, Fabiano B. da [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/14689367.2017.1397106
http://hdl.handle.net/11449/164553
Resumo: Given a control system on a compact manifold M, we study conditions for the foliation defined by the accessible sets to be dense in M. For this, we relate the control system to a stochastic differential equation and, by the support theorem, we give a characterization of the density in terms of the infinitesimal generator of the diffusion and its invariant measures.
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spelling A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spacesControl systemsdiffusion processesstochastic calculusBrownian motionGiven a control system on a compact manifold M, we study conditions for the foliation defined by the accessible sets to be dense in M. For this, we relate the control system to a stochastic differential equation and, by the support theorem, we give a characterization of the density in terms of the infinitesimal generator of the diffusion and its invariant measures.Univ Estadual Campinas, Dept Matemat, Campinas, SP, BrazilUniv Estadual Paulista, Dept Matemat, Bauru, BrazilUniv Estadual Paulista, Dept Matemat, Bauru, BrazilTaylor & Francis LtdUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Ledesma, Diego S.Silva, Fabiano B. da [UNESP]2018-11-26T17:55:01Z2018-11-26T17:55:01Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article519-535application/pdfhttp://dx.doi.org/10.1080/14689367.2017.1397106Dynamical Systems-an International Journal. Abingdon: Taylor & Francis Ltd, v. 33, n. 3, p. 519-535, 2018.1468-9367http://hdl.handle.net/11449/16455310.1080/14689367.2017.1397106WOS:000442417500007WOS000442417500007.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengDynamical Systems-an International Journal0,295info:eu-repo/semantics/openAccess2024-04-29T14:59:43Zoai:repositorio.unesp.br:11449/164553Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:03:24.946280Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
title A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
spellingShingle A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
Ledesma, Diego S.
Control systems
diffusion processes
stochastic calculus
Brownian motion
title_short A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
title_full A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
title_fullStr A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
title_full_unstemmed A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
title_sort A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
author Ledesma, Diego S.
author_facet Ledesma, Diego S.
Silva, Fabiano B. da [UNESP]
author_role author
author2 Silva, Fabiano B. da [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Ledesma, Diego S.
Silva, Fabiano B. da [UNESP]
dc.subject.por.fl_str_mv Control systems
diffusion processes
stochastic calculus
Brownian motion
topic Control systems
diffusion processes
stochastic calculus
Brownian motion
description Given a control system on a compact manifold M, we study conditions for the foliation defined by the accessible sets to be dense in M. For this, we relate the control system to a stochastic differential equation and, by the support theorem, we give a characterization of the density in terms of the infinitesimal generator of the diffusion and its invariant measures.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-26T17:55:01Z
2018-11-26T17:55:01Z
2018-01-01
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/10.1080/14689367.2017.1397106
Dynamical Systems-an International Journal. Abingdon: Taylor & Francis Ltd, v. 33, n. 3, p. 519-535, 2018.
1468-9367
http://hdl.handle.net/11449/164553
10.1080/14689367.2017.1397106
WOS:000442417500007
WOS000442417500007.pdf
url http://dx.doi.org/10.1080/14689367.2017.1397106
http://hdl.handle.net/11449/164553
identifier_str_mv Dynamical Systems-an International Journal. Abingdon: Taylor & Francis Ltd, v. 33, n. 3, p. 519-535, 2018.
1468-9367
10.1080/14689367.2017.1397106
WOS:000442417500007
WOS000442417500007.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Dynamical Systems-an International Journal
0,295
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 519-535
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis Ltd
publisher.none.fl_str_mv Taylor & Francis Ltd
dc.source.none.fl_str_mv Web of Science
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_ 1808129278524522496

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