Necessary conditions for optimal impulsive control problems

Detalhes bibliográficos
Autor(a) principal: Silva, G. N. [UNESP]
Data de Publicação: 1997
Outros Autores: Vinter, R. B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1137/S0363012995281857
http://hdl.handle.net/11449/219203
Resumo: Necessary conditions of optimality, in the form of a maximum principle, are derived for a class of optimal control problems, certain of whose controls are represented by measures and whose state trajectories are functions of bounded variation. State trajectories are interpreted as robust solutions of the dynamic equations, a concept of solutions which takes account of the interaction between the measure control and the state variables during the jumps. The maximum principle which is derived improves on earlier optimality conditions for problems of this nature, by allowing nonsmooth data, measurable time dependence, and a possibly time-varying constraint set for the conventional controls.
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spelling Necessary conditions for optimal impulsive control problemsImpulsive controlMaximum principleNecessary conditionsNonsmooth analysisNecessary conditions of optimality, in the form of a maximum principle, are derived for a class of optimal control problems, certain of whose controls are represented by measures and whose state trajectories are functions of bounded variation. State trajectories are interpreted as robust solutions of the dynamic equations, a concept of solutions which takes account of the interaction between the measure control and the state variables during the jumps. The maximum principle which is derived improves on earlier optimality conditions for problems of this nature, by allowing nonsmooth data, measurable time dependence, and a possibly time-varying constraint set for the conventional controls.Interdisc. Res. Ctr. for Proc. Syst. Dept. of Elec. and Electron. Eng. Imperial College, London SW7 2BYUniversidade Estadual Paulista-UNESP Campus de Sao Jose do Rio Preto, Caixa Postal 136, S. Jose Rio Preto, SP, CEP 15054-000Universidade Estadual Paulista-UNESP Campus de Sao Jose do Rio Preto, Caixa Postal 136, S. Jose Rio Preto, SP, CEP 15054-000Imperial CollegeUniversidade Estadual Paulista (UNESP)Silva, G. N. [UNESP]Vinter, R. B.2022-04-28T18:54:23Z2022-04-28T18:54:23Z1997-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1829-1846http://dx.doi.org/10.1137/S0363012995281857SIAM Journal on Control and Optimization, v. 35, n. 6, p. 1829-1846, 1997.0363-0129http://hdl.handle.net/11449/21920310.1137/S03630129952818572-s2.0-0031268098Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSIAM Journal on Control and Optimizationinfo:eu-repo/semantics/openAccess2022-04-28T18:54:23Zoai:repositorio.unesp.br:11449/219203Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:35:01.906606Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Necessary conditions for optimal impulsive control problems
title Necessary conditions for optimal impulsive control problems
spellingShingle Necessary conditions for optimal impulsive control problems
Silva, G. N. [UNESP]
Impulsive control
Maximum principle
Necessary conditions
Nonsmooth analysis
title_short Necessary conditions for optimal impulsive control problems
title_full Necessary conditions for optimal impulsive control problems
title_fullStr Necessary conditions for optimal impulsive control problems
title_full_unstemmed Necessary conditions for optimal impulsive control problems
title_sort Necessary conditions for optimal impulsive control problems
author Silva, G. N. [UNESP]
author_facet Silva, G. N. [UNESP]
Vinter, R. B.
author_role author
author2 Vinter, R. B.
author2_role author
dc.contributor.none.fl_str_mv Imperial College
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Silva, G. N. [UNESP]
Vinter, R. B.
dc.subject.por.fl_str_mv Impulsive control
Maximum principle
Necessary conditions
Nonsmooth analysis
topic Impulsive control
Maximum principle
Necessary conditions
Nonsmooth analysis
description Necessary conditions of optimality, in the form of a maximum principle, are derived for a class of optimal control problems, certain of whose controls are represented by measures and whose state trajectories are functions of bounded variation. State trajectories are interpreted as robust solutions of the dynamic equations, a concept of solutions which takes account of the interaction between the measure control and the state variables during the jumps. The maximum principle which is derived improves on earlier optimality conditions for problems of this nature, by allowing nonsmooth data, measurable time dependence, and a possibly time-varying constraint set for the conventional controls.
publishDate 1997
dc.date.none.fl_str_mv 1997-01-01
2022-04-28T18:54:23Z
2022-04-28T18:54:23Z
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://dx.doi.org/10.1137/S0363012995281857
SIAM Journal on Control and Optimization, v. 35, n. 6, p. 1829-1846, 1997.
0363-0129
http://hdl.handle.net/11449/219203
10.1137/S0363012995281857
2-s2.0-0031268098
url http://dx.doi.org/10.1137/S0363012995281857
http://hdl.handle.net/11449/219203
identifier_str_mv SIAM Journal on Control and Optimization, v. 35, n. 6, p. 1829-1846, 1997.
0363-0129
10.1137/S0363012995281857
2-s2.0-0031268098
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv SIAM Journal on Control and Optimization
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1829-1846
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_ 1808129440284147712

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