Necessary optimality conditions for optimal control problems with infinite horizon

Detalhes bibliográficos
Autor(a) principal: Fernando Lobo Pereira
Data de Publicação: 2012
Outros Autores: Geraldo Nunes da Silva
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://repositorio-aberto.up.pt/handle/10216/85760
Resumo: This article concerns the derivation of necessary conditions of optimality for infinitehorizon control problems whose cost functional depend on the state at the finaltime which is subject to constraints. Moreover, the optimization is conducted overtrajectories which converge asymptotically to an equilibrium point in the givencompact set C. This includes the case in which it is not possible to steer thestate to the equilibrium point in finite time. This feature distinguishes the problemaddressed in this article from the usual finite time control problem.
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spelling Necessary optimality conditions for optimal control problems with infinite horizonCiências Tecnológicas, Ciências da engenharia e tecnologiasTechnological sciences, Engineering and technologyThis article concerns the derivation of necessary conditions of optimality for infinitehorizon control problems whose cost functional depend on the state at the finaltime which is subject to constraints. Moreover, the optimization is conducted overtrajectories which converge asymptotically to an equilibrium point in the givencompact set C. This includes the case in which it is not possible to steer thestate to the equilibrium point in finite time. This feature distinguishes the problemaddressed in this article from the usual finite time control problem.20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/85760engFernando Lobo PereiraGeraldo Nunes da Silvainfo: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:RCAAP2023-11-29T14:01:00Zoai:repositorio-aberto.up.pt:10216/85760Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:52:31.083152Repositório 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 optimality conditions for optimal control problems with infinite horizon
title Necessary optimality conditions for optimal control problems with infinite horizon
spellingShingle Necessary optimality conditions for optimal control problems with infinite horizon
Fernando Lobo Pereira
Ciências Tecnológicas, Ciências da engenharia e tecnologias
Technological sciences, Engineering and technology
title_short Necessary optimality conditions for optimal control problems with infinite horizon
title_full Necessary optimality conditions for optimal control problems with infinite horizon
title_fullStr Necessary optimality conditions for optimal control problems with infinite horizon
title_full_unstemmed Necessary optimality conditions for optimal control problems with infinite horizon
title_sort Necessary optimality conditions for optimal control problems with infinite horizon
author Fernando Lobo Pereira
author_facet Fernando Lobo Pereira
Geraldo Nunes da Silva
author_role author
author2 Geraldo Nunes da Silva
author2_role author
dc.contributor.author.fl_str_mv Fernando Lobo Pereira
Geraldo Nunes da Silva
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 This article concerns the derivation of necessary conditions of optimality for infinitehorizon control problems whose cost functional depend on the state at the finaltime which is subject to constraints. Moreover, the optimization is conducted overtrajectories which converge asymptotically to an equilibrium point in the givencompact set C. This includes the case in which it is not possible to steer thestate to the equilibrium point in finite time. This feature distinguishes the problemaddressed in this article from the usual finite time control problem.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
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dc.identifier.uri.fl_str_mv https://repositorio-aberto.up.pt/handle/10216/85760
url https://repositorio-aberto.up.pt/handle/10216/85760
dc.language.iso.fl_str_mv eng
language eng
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