Stability and Optimality of Solutions to Differential Inclusions via Averaging Method

Detalhes bibliográficos
Autor(a) principal: Gama, Ricardo
Data de Publicação: 2014
Outros Autores: Smirnov, Georgi
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.19/4093
Resumo: Abstract The averaging method is one of the most used tools to study dynamical systems. With the development of the theory of differential inclusions, a respective generalization of the averaging method followed the steps outlined in the theory of differential equations. Presently, it has been successfully applied to a wide range of problems involving differential inclusions, simplifying the study of the systems under consideration. In this work, the main development trends and methods in the application of the averaging method to the study of stability and optimality of solutions to differential inclusions are surveyed. A detailed list of references is given and some examples of applications are presented.
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spelling Stability and Optimality of Solutions to Differential Inclusions via Averaging MethodDifferential inclusionsAveraging methodAbstract The averaging method is one of the most used tools to study dynamical systems. With the development of the theory of differential inclusions, a respective generalization of the averaging method followed the steps outlined in the theory of differential equations. Presently, it has been successfully applied to a wide range of problems involving differential inclusions, simplifying the study of the systems under consideration. In this work, the main development trends and methods in the application of the averaging method to the study of stability and optimality of solutions to differential inclusions are surveyed. A detailed list of references is given and some examples of applications are presented.Repositório Científico do Instituto Politécnico de ViseuGama, RicardoSmirnov, Georgi2017-01-25T11:15:24Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/4093eng10.1007/s11228-013-0261-4info: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:RCAAP2023-01-16T15:26:59Zoai:repositorio.ipv.pt:10400.19/4093Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:42:45.386906Repositório 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 Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
title Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
spellingShingle Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
Gama, Ricardo
Differential inclusions
Averaging method
title_short Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
title_full Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
title_fullStr Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
title_full_unstemmed Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
title_sort Stability and Optimality of Solutions to Differential Inclusions via Averaging Method
author Gama, Ricardo
author_facet Gama, Ricardo
Smirnov, Georgi
author_role author
author2 Smirnov, Georgi
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Gama, Ricardo
Smirnov, Georgi
dc.subject.por.fl_str_mv Differential inclusions
Averaging method
topic Differential inclusions
Averaging method
description Abstract The averaging method is one of the most used tools to study dynamical systems. With the development of the theory of differential inclusions, a respective generalization of the averaging method followed the steps outlined in the theory of differential equations. Presently, it has been successfully applied to a wide range of problems involving differential inclusions, simplifying the study of the systems under consideration. In this work, the main development trends and methods in the application of the averaging method to the study of stability and optimality of solutions to differential inclusions are surveyed. A detailed list of references is given and some examples of applications are presented.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2017-01-25T11:15:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.19/4093
url http://hdl.handle.net/10400.19/4093
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1007/s11228-013-0261-4
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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