Approximating fractional derivatives through the generalized mean

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2009
Outros Autores: Galhano, Alexandra, Oliveira, Anabela, Tar, József K.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/4309
Resumo: This paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the continuous to discrete time conversion. The problem is re-evaluated in an optimization perspective by tacking advantage of the degree of freedom provided by the generalized mean formula. The results demonstrate the superior performance of the new algorithm.
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spelling Approximating fractional derivatives through the generalized meanFractional derivativesFractional calculusAverageGeneralized meanThis paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the continuous to discrete time conversion. The problem is re-evaluated in an optimization perspective by tacking advantage of the degree of freedom provided by the generalized mean formula. The results demonstrate the superior performance of the new algorithm.ElsevierRepositório Científico do Instituto Politécnico do PortoMachado, J. A. TenreiroGalhano, AlexandraOliveira, AnabelaTar, József K.2014-04-04T11:21:33Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4309eng1007-570410.1016/j.cnsns.2009.03.004info: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:RCAAP2023-03-13T12:44:26Zoai:recipp.ipp.pt:10400.22/4309Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:25:12.603639Repositório 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 Approximating fractional derivatives through the generalized mean
title Approximating fractional derivatives through the generalized mean
spellingShingle Approximating fractional derivatives through the generalized mean
Machado, J. A. Tenreiro
Fractional derivatives
Fractional calculus
Average
Generalized mean
title_short Approximating fractional derivatives through the generalized mean
title_full Approximating fractional derivatives through the generalized mean
title_fullStr Approximating fractional derivatives through the generalized mean
title_full_unstemmed Approximating fractional derivatives through the generalized mean
title_sort Approximating fractional derivatives through the generalized mean
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
Galhano, Alexandra
Oliveira, Anabela
Tar, József K.
author_role author
author2 Galhano, Alexandra
Oliveira, Anabela
Tar, József K.
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
Galhano, Alexandra
Oliveira, Anabela
Tar, József K.
dc.subject.por.fl_str_mv Fractional derivatives
Fractional calculus
Average
Generalized mean
topic Fractional derivatives
Fractional calculus
Average
Generalized mean
description This paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the continuous to discrete time conversion. The problem is re-evaluated in an optimization perspective by tacking advantage of the degree of freedom provided by the generalized mean formula. The results demonstrate the superior performance of the new algorithm.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2014-04-04T11:21:33Z
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://hdl.handle.net/10400.22/4309
url http://hdl.handle.net/10400.22/4309
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1007-5704
10.1016/j.cnsns.2009.03.004
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.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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