Skinner-Rusk unified formalism for optimal control systems and applications

A geometric approach to time-dependent optimal control problems is proposed. This formulation is based on the Skinner and Rusk formalism for Lagrangian and Hamiltonian systems. The corresponding unified formalism developed for optimal control systems allows us to formulate geometrically the necessar...

Descripción completa

Detalles Bibliográficos
Autores: Barbero Liñán, María, Echeverría Enríquez, Arturo, Martín de Diego, David, Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248, Román Roy, Narciso|||0000-0003-3663-9861
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/1013
Acceso en línea:https://hdl.handle.net/2117/1013
Access Level:acceso abierto
Palabra clave:Hamiltonian systems
Lagrange equations
Lagrangian and Hamiltonian formalisms
jet bundles
implicit optimal control systems
descriptor systems
Hamilton, Sistemes de
Lagrange, Equacions de
Control òptim, Teoria del
Classificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methods
Classificació AMS::49 Calculus of variations and optimal control
optimization::49J Existence theories
Classificació AMS::34 Ordinary differential equations::34A General theory
optimization::49K Necessary conditions and sufficient conditions for optimality
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
id ES_85f63a86ae3dffcd9693572b6fe030d8
oai_identifier_str oai:upcommons.upc.edu:2117/1013
network_acronym_str ES
network_name_str España
repository_id_str
spelling Skinner-Rusk unified formalism for optimal control systems and applicationsBarbero Liñán, MaríaEcheverría Enríquez, ArturoMartín de Diego, DavidMuñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248Román Roy, Narciso|||0000-0003-3663-9861Hamiltonian systemsLagrange equationsLagrangian and Hamiltonian formalismsjet bundlesimplicit optimal control systemsdescriptor systemsHamilton, Sistemes deLagrange, Equacions deControl òptim, Teoria delClassificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methodsClassificació AMS::49 Calculus of variations and optimal controloptimization::49J Existence theoriesClassificació AMS::34 Ordinary differential equations::34A General theoryClassificació AMS::49 Calculus of variations and optimal controloptimization::49K Necessary conditions and sufficient conditions for optimalityClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanicsA geometric approach to time-dependent optimal control problems is proposed. This formulation is based on the Skinner and Rusk formalism for Lagrangian and Hamiltonian systems. The corresponding unified formalism developed for optimal control systems allows us to formulate geometrically the necessary conditions given by Pontryagin’s Maximum Principle, providing that the differentiability with respect to controls is assumed and the space of controls is open. Furthermore, our method is also valid for implicit optimal control systems and, in particular, for the so-called descriptor systems (optimal control problems including both differential and algebraic equations).20072007-05-1520072007-05-16journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/1013reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/10132026-05-27T15:37:01Z
dc.title.none.fl_str_mv Skinner-Rusk unified formalism for optimal control systems and applications
title Skinner-Rusk unified formalism for optimal control systems and applications
spellingShingle Skinner-Rusk unified formalism for optimal control systems and applications
Barbero Liñán, María
Hamiltonian systems
Lagrange equations
Lagrangian and Hamiltonian formalisms
jet bundles
implicit optimal control systems
descriptor systems
Hamilton, Sistemes de
Lagrange, Equacions de
Control òptim, Teoria del
Classificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methods
Classificació AMS::49 Calculus of variations and optimal control
optimization::49J Existence theories
Classificació AMS::34 Ordinary differential equations::34A General theory
Classificació AMS::49 Calculus of variations and optimal control
optimization::49K Necessary conditions and sufficient conditions for optimality
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
title_short Skinner-Rusk unified formalism for optimal control systems and applications
title_full Skinner-Rusk unified formalism for optimal control systems and applications
title_fullStr Skinner-Rusk unified formalism for optimal control systems and applications
title_full_unstemmed Skinner-Rusk unified formalism for optimal control systems and applications
title_sort Skinner-Rusk unified formalism for optimal control systems and applications
dc.creator.none.fl_str_mv Barbero Liñán, María
Echeverría Enríquez, Arturo
Martín de Diego, David
Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248
Román Roy, Narciso|||0000-0003-3663-9861
author Barbero Liñán, María
author_facet Barbero Liñán, María
Echeverría Enríquez, Arturo
Martín de Diego, David
Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248
Román Roy, Narciso|||0000-0003-3663-9861
author_role author
author2 Echeverría Enríquez, Arturo
Martín de Diego, David
Muñoz Lecanda, Miguel Carlos|||0000-0002-7037-0248
Román Roy, Narciso|||0000-0003-3663-9861
author2_role author
author
author
author
dc.subject.none.fl_str_mv Hamiltonian systems
Lagrange equations
Lagrangian and Hamiltonian formalisms
jet bundles
implicit optimal control systems
descriptor systems
Hamilton, Sistemes de
Lagrange, Equacions de
Control òptim, Teoria del
Classificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methods
Classificació AMS::49 Calculus of variations and optimal control
optimization::49J Existence theories
Classificació AMS::34 Ordinary differential equations::34A General theory
Classificació AMS::49 Calculus of variations and optimal control
optimization::49K Necessary conditions and sufficient conditions for optimality
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
topic Hamiltonian systems
Lagrange equations
Lagrangian and Hamiltonian formalisms
jet bundles
implicit optimal control systems
descriptor systems
Hamilton, Sistemes de
Lagrange, Equacions de
Control òptim, Teoria del
Classificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methods
Classificació AMS::49 Calculus of variations and optimal control
optimization::49J Existence theories
Classificació AMS::34 Ordinary differential equations::34A General theory
Classificació AMS::49 Calculus of variations and optimal control
optimization::49K Necessary conditions and sufficient conditions for optimality
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
description A geometric approach to time-dependent optimal control problems is proposed. This formulation is based on the Skinner and Rusk formalism for Lagrangian and Hamiltonian systems. The corresponding unified formalism developed for optimal control systems allows us to formulate geometrically the necessary conditions given by Pontryagin’s Maximum Principle, providing that the differentiability with respect to controls is assumed and the space of controls is open. Furthermore, our method is also valid for implicit optimal control systems and, in particular, for the so-called descriptor systems (optimal control problems including both differential and algebraic equations).
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-05-15
2007
2007-05-16
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/1013
url https://hdl.handle.net/2117/1013
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412338756485120
score 15.301603

Similares en LA Referencia