A new sufficient condition for optimal impulsive control problems

Detalhes bibliográficos
Autor(a) principal: De Oliveira, Valeriano A. [UNESP]
Data de Publicação: 2012
Outros Autores: Silva, Geraldo N. [UNESP], Pereiraz, Fernando Lobo
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/CDC.2012.6425957
http://hdl.handle.net/11449/73802
Resumo: In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. © 2012 IEEE.
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spelling A new sufficient condition for optimal impulsive control problemsControl equationsControl variableOptimal control problemOptimal impulsive controlOptimalityProper solutionsSufficient conditionsDynamicsOptimal control systemsOptimizationNonlinear equationsIn this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. © 2012 IEEE.Inst de Biociências, Letras e Ciências Exatas Universidade Estadual Paulista (UNESP), Rua Cristóvão Colombo, 2265, CEP 15054-000, São José do Rio PretoFaculdade de Engenharia Universidade Do Porto, Rua Dr. Roberto Frias, s/n, 4200-465 PortoInst de Biociências, Letras e Ciências Exatas Universidade Estadual Paulista (UNESP), Rua Cristóvão Colombo, 2265, CEP 15054-000, São José do Rio PretoUniversidade Estadual Paulista (Unesp)Universidade Do PortoDe Oliveira, Valeriano A. [UNESP]Silva, Geraldo N. [UNESP]Pereiraz, Fernando Lobo2014-05-27T11:27:17Z2014-05-27T11:27:17Z2012-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject6418-6423http://dx.doi.org/10.1109/CDC.2012.6425957Proceedings of the IEEE Conference on Decision and Control, p. 6418-6423.0191-2216http://hdl.handle.net/11449/7380210.1109/CDC.2012.64259572-s2.0-848742825689527284964541341Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the IEEE Conference on Decision and Control0,591info:eu-repo/semantics/openAccess2021-10-23T21:41:37Zoai:repositorio.unesp.br:11449/73802Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:37Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A new sufficient condition for optimal impulsive control problems
title A new sufficient condition for optimal impulsive control problems
spellingShingle A new sufficient condition for optimal impulsive control problems
De Oliveira, Valeriano A. [UNESP]
Control equations
Control variable
Optimal control problem
Optimal impulsive control
Optimality
Proper solutions
Sufficient conditions
Dynamics
Optimal control systems
Optimization
Nonlinear equations
title_short A new sufficient condition for optimal impulsive control problems
title_full A new sufficient condition for optimal impulsive control problems
title_fullStr A new sufficient condition for optimal impulsive control problems
title_full_unstemmed A new sufficient condition for optimal impulsive control problems
title_sort A new sufficient condition for optimal impulsive control problems
author De Oliveira, Valeriano A. [UNESP]
author_facet De Oliveira, Valeriano A. [UNESP]
Silva, Geraldo N. [UNESP]
Pereiraz, Fernando Lobo
author_role author
author2 Silva, Geraldo N. [UNESP]
Pereiraz, Fernando Lobo
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Do Porto
dc.contributor.author.fl_str_mv De Oliveira, Valeriano A. [UNESP]
Silva, Geraldo N. [UNESP]
Pereiraz, Fernando Lobo
dc.subject.por.fl_str_mv Control equations
Control variable
Optimal control problem
Optimal impulsive control
Optimality
Proper solutions
Sufficient conditions
Dynamics
Optimal control systems
Optimization
Nonlinear equations
topic Control equations
Control variable
Optimal control problem
Optimal impulsive control
Optimality
Proper solutions
Sufficient conditions
Dynamics
Optimal control systems
Optimization
Nonlinear equations
description In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. © 2012 IEEE.
publishDate 2012
dc.date.none.fl_str_mv 2012-12-01
2014-05-27T11:27:17Z
2014-05-27T11:27:17Z
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.2012.6425957
Proceedings of the IEEE Conference on Decision and Control, p. 6418-6423.
0191-2216
http://hdl.handle.net/11449/73802
10.1109/CDC.2012.6425957
2-s2.0-84874282568
9527284964541341
url http://dx.doi.org/10.1109/CDC.2012.6425957
http://hdl.handle.net/11449/73802
identifier_str_mv Proceedings of the IEEE Conference on Decision and Control, p. 6418-6423.
0191-2216
10.1109/CDC.2012.6425957
2-s2.0-84874282568
9527284964541341
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the IEEE Conference on Decision and Control
0,591
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6418-6423
dc.source.none.fl_str_mv Scopus
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_ 1799964525298974720

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