Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions

Detalhes bibliográficos
Autor(a) principal: Pait, Felipe
Data de Publicação: 2010
Outros Autores: Colon, Diego [UNESP], IEEE
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/CDC.2010.5717398
http://hdl.handle.net/11449/195982
Resumo: The quadratic distance function on a Riemannian manifold can be expressed in terms of the position vector, which in turn can be constructed using geodesic normal coordinates through consideration of the exponential map. The formulas for the derivative of the distance are useful to study Lyapunov stability of dynamical systems, and to build cost functions for optimal control and estimation.
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spelling Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functionsRiemannian geometrygeodesic distanceLyapunov functionsThe quadratic distance function on a Riemannian manifold can be expressed in terms of the position vector, which in turn can be constructed using geodesic normal coordinates through consideration of the exponential map. The formulas for the derivative of the distance are useful to study Lyapunov stability of dynamical systems, and to build cost functions for optimal control and estimation.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Sao Paulo, Escola Politecn, Lab Automacao & Controle PTC, BR-05508970 Sao Paulo, BrazilUNESP, Control Engn & Automat, Sorocaba, BrazilUNESP, Control Engn & Automat, Sorocaba, BrazilCNPq: 474344/2007-0IeeeUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Pait, FelipeColon, Diego [UNESP]IEEE2020-12-10T19:00:38Z2020-12-10T19:00:38Z2010-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject6277-6280http://dx.doi.org/10.1109/CDC.2010.571739849th Ieee Conference On Decision And Control (cdc). New York: Ieee, p. 6277-6280, 2010.0743-1546http://hdl.handle.net/11449/19598210.1109/CDC.2010.5717398WOS:000295049107023Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng49th Ieee Conference On Decision And Control (cdc)info:eu-repo/semantics/openAccess2021-10-22T20:56:24Zoai:repositorio.unesp.br:11449/195982Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T20:56:24Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
title Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
spellingShingle Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
Pait, Felipe
Riemannian geometry
geodesic distance
Lyapunov functions
title_short Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
title_full Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
title_fullStr Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
title_full_unstemmed Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
title_sort Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
author Pait, Felipe
author_facet Pait, Felipe
Colon, Diego [UNESP]
IEEE
author_role author
author2 Colon, Diego [UNESP]
IEEE
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Pait, Felipe
Colon, Diego [UNESP]
IEEE
dc.subject.por.fl_str_mv Riemannian geometry
geodesic distance
Lyapunov functions
topic Riemannian geometry
geodesic distance
Lyapunov functions
description The quadratic distance function on a Riemannian manifold can be expressed in terms of the position vector, which in turn can be constructed using geodesic normal coordinates through consideration of the exponential map. The formulas for the derivative of the distance are useful to study Lyapunov stability of dynamical systems, and to build cost functions for optimal control and estimation.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
2020-12-10T19:00:38Z
2020-12-10T19:00:38Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1109/CDC.2010.5717398
49th Ieee Conference On Decision And Control (cdc). New York: Ieee, p. 6277-6280, 2010.
0743-1546
http://hdl.handle.net/11449/195982
10.1109/CDC.2010.5717398
WOS:000295049107023
url http://dx.doi.org/10.1109/CDC.2010.5717398
http://hdl.handle.net/11449/195982
identifier_str_mv 49th Ieee Conference On Decision And Control (cdc). New York: Ieee, p. 6277-6280, 2010.
0743-1546
10.1109/CDC.2010.5717398
WOS:000295049107023
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 49th Ieee Conference On Decision And Control (cdc)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6277-6280
dc.publisher.none.fl_str_mv Ieee
publisher.none.fl_str_mv Ieee
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
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