Noether's theorem for higher-order variational problems of Herglotz type

Bibliographic Details
Main Author: Santos, Simão P. S.
Publication Date: 2015
Other Authors: Martins, Natália, Torres, Delfim F. M.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16618
Summary: We approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler–Lagrange equation, transversality conditions, DuBois–Reymond necessary optimality condition and Noether’s theorem for Herglotz’s type higher-order variational problems, valid for piecewise smooth functions.
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spelling Noether's theorem for higher-order variational problems of Herglotz typeHerglotz’s problemsHigher-order calculus of variationsOptimal controlEuler– Lagrange equations invarianceDuBois–Reymond conditionNoether’s theoremWe approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler–Lagrange equation, transversality conditions, DuBois–Reymond necessary optimality condition and Noether’s theorem for Herglotz’s type higher-order variational problems, valid for piecewise smooth functions.American Institute of Mathematical Sciences2017-01-10T10:31:42Z2015-11-01T00:00:00Z2015-11conference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/16618eng10.3934/proc.2015.990Santos, Simão P. S.Martins, NatáliaTorres, Delfim F. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:59:03Zoai:ria.ua.pt:10773/16618Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:28.796293Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Noether's theorem for higher-order variational problems of Herglotz type
title Noether's theorem for higher-order variational problems of Herglotz type
spellingShingle Noether's theorem for higher-order variational problems of Herglotz type
Santos, Simão P. S.
Herglotz’s problems
Higher-order calculus of variations
Optimal control
Euler– Lagrange equations invariance
DuBois–Reymond condition
Noether’s theorem
title_short Noether's theorem for higher-order variational problems of Herglotz type
title_full Noether's theorem for higher-order variational problems of Herglotz type
title_fullStr Noether's theorem for higher-order variational problems of Herglotz type
title_full_unstemmed Noether's theorem for higher-order variational problems of Herglotz type
title_sort Noether's theorem for higher-order variational problems of Herglotz type
author Santos, Simão P. S.
author_facet Santos, Simão P. S.
Martins, Natália
Torres, Delfim F. M.
author_role author
author2 Martins, Natália
Torres, Delfim F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Santos, Simão P. S.
Martins, Natália
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Herglotz’s problems
Higher-order calculus of variations
Optimal control
Euler– Lagrange equations invariance
DuBois–Reymond condition
Noether’s theorem
topic Herglotz’s problems
Higher-order calculus of variations
Optimal control
Euler– Lagrange equations invariance
DuBois–Reymond condition
Noether’s theorem
description We approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler–Lagrange equation, transversality conditions, DuBois–Reymond necessary optimality condition and Noether’s theorem for Herglotz’s type higher-order variational problems, valid for piecewise smooth functions.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-01T00:00:00Z
2015-11
2017-01-10T10:31:42Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16618
url http://hdl.handle.net/10773/16618
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3934/proc.2015.990
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833594167249338368

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