Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
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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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:29462024-05-23T14:41:25.135888Repositório 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 |
|
_version_ |
1803045607756005376 |