A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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 |