Index theorems for graph-parametrized optimal control problems

Detalhes bibliográficos
Autor(a) principal: Agrachev, Andrei
Data de Publicação: 2023
Outros Autores: Baranzini, Stefano, Beschastnyi, Ivan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10773/39966
Resumo: In this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications. Our formulas compute the difference of Morse indices of two Hessians related to two different graphs or two different sets of boundary conditions. Several applications such as the iteration formulas or lower bounds for the index are proved.
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spelling Index theorems for graph-parametrized optimal control problemsConstrained optimizationMetric graphMorse indexSecond variationIn this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications. Our formulas compute the difference of Morse indices of two Hessians related to two different graphs or two different sets of boundary conditions. Several applications such as the iteration formulas or lower bounds for the index are proved.Institute of Physics Publishing2024-01-05T12:23:50Z2023-05-01T00:00:00Z2023-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39966eng0951-771510.1088/1361-6544/acc5d4Agrachev, AndreiBaranzini, StefanoBeschastnyi, Ivaninfo: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:RCAAP2024-05-06T04:50:34Zoai:ria.ua.pt:10773/39966Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:21:59.172914Repositórios 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 Index theorems for graph-parametrized optimal control problems
title Index theorems for graph-parametrized optimal control problems
spellingShingle Index theorems for graph-parametrized optimal control problems
Agrachev, Andrei
Constrained optimization
Metric graph
Morse index
Second variation
title_short Index theorems for graph-parametrized optimal control problems
title_full Index theorems for graph-parametrized optimal control problems
title_fullStr Index theorems for graph-parametrized optimal control problems
title_full_unstemmed Index theorems for graph-parametrized optimal control problems
title_sort Index theorems for graph-parametrized optimal control problems
author Agrachev, Andrei
author_facet Agrachev, Andrei
Baranzini, Stefano
Beschastnyi, Ivan
author_role author
author2 Baranzini, Stefano
Beschastnyi, Ivan
author2_role author
author
dc.contributor.author.fl_str_mv Agrachev, Andrei
Baranzini, Stefano
Beschastnyi, Ivan
dc.subject.por.fl_str_mv Constrained optimization
Metric graph
Morse index
Second variation
topic Constrained optimization
Metric graph
Morse index
Second variation
description In this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications. Our formulas compute the difference of Morse indices of two Hessians related to two different graphs or two different sets of boundary conditions. Several applications such as the iteration formulas or lower bounds for the index are proved.
publishDate 2023
dc.date.none.fl_str_mv 2023-05-01T00:00:00Z
2023-05-01
2024-01-05T12:23:50Z
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://hdl.handle.net/10773/39966
url http://hdl.handle.net/10773/39966
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0951-7715
10.1088/1361-6544/acc5d4
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 Institute of Physics Publishing
publisher.none.fl_str_mv Institute of Physics Publishing
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
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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
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