Necessary conditions of optimality for impulsive control without a priori normality assumptions

Detalhes bibliográficos
Autor(a) principal: Aram Arutyunov
Data de Publicação: 2003
Outros Autores: V. Dykhta, F. Lobo Pereira
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/71637
Resumo: First-order and second-order necessary conditions of optimality for an impulsive control problem that remain informative for abnormal control processes are presented and derived. One of the main features of these conditions is that no a priori normality assumptions are required. This feature follows from the fact that these conditions rely on an extremal principle which is proved for an abstract minimization problem with equality constraints, inequality constraints, and constraints given by an inclusion in a convex cone. Two simple examples illustrate the power of the main result.
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spelling Necessary conditions of optimality for impulsive control without a priori normality assumptionsCiências Tecnológicas, Ciências da engenharia e tecnologiasTechnological sciences, Engineering and technologyFirst-order and second-order necessary conditions of optimality for an impulsive control problem that remain informative for abnormal control processes are presented and derived. One of the main features of these conditions is that no a priori normality assumptions are required. This feature follows from the fact that these conditions rely on an extremal principle which is proved for an abstract minimization problem with equality constraints, inequality constraints, and constraints given by an inclusion in a convex cone. Two simple examples illustrate the power of the main result.20032003-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/71637engAram ArutyunovV. DykhtaF. Lobo Pereirainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T13:58:23Zoai:repositorio-aberto.up.pt:10216/71637Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:51:12.936980Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Necessary conditions of optimality for impulsive control without a priori normality assumptions
title Necessary conditions of optimality for impulsive control without a priori normality assumptions
spellingShingle Necessary conditions of optimality for impulsive control without a priori normality assumptions
Aram Arutyunov
Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
title_short Necessary conditions of optimality for impulsive control without a priori normality assumptions
title_full Necessary conditions of optimality for impulsive control without a priori normality assumptions
title_fullStr Necessary conditions of optimality for impulsive control without a priori normality assumptions
title_full_unstemmed Necessary conditions of optimality for impulsive control without a priori normality assumptions
title_sort Necessary conditions of optimality for impulsive control without a priori normality assumptions
author Aram Arutyunov
author_facet Aram Arutyunov
V. Dykhta
F. Lobo Pereira
author_role author
author2 V. Dykhta
F. Lobo Pereira
author2_role author
author
dc.contributor.author.fl_str_mv Aram Arutyunov
V. Dykhta
F. Lobo Pereira
dc.subject.por.fl_str_mv Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
topic Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
description First-order and second-order necessary conditions of optimality for an impulsive control problem that remain informative for abnormal control processes are presented and derived. One of the main features of these conditions is that no a priori normality assumptions are required. This feature follows from the fact that these conditions rely on an extremal principle which is proved for an abstract minimization problem with equality constraints, inequality constraints, and constraints given by an inclusion in a convex cone. Two simple examples illustrate the power of the main result.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/book
format book
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/71637
url https://hdl.handle.net/10216/71637
dc.language.iso.fl_str_mv eng
language eng
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.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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