An introduction to the fractional continuous-time linear systems
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2008 |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10362/1717 |
Resumo: | A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives. |
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An introduction to the fractional continuous-time linear systemsfractionalA brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives.IEEERUNOrtigueira, M.D.2008-10-29T11:50:42Z2008-072008-07-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/1717engIEEE Circuits and Systems Magazine, third quarter 2008, pp 19-26info: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:RCAAP2024-03-11T03:31:43Zoai:run.unl.pt:10362/1717Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:14:49.111393Repositório 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 |
An introduction to the fractional continuous-time linear systems |
| title |
An introduction to the fractional continuous-time linear systems |
| spellingShingle |
An introduction to the fractional continuous-time linear systems Ortigueira, M.D. fractional |
| title_short |
An introduction to the fractional continuous-time linear systems |
| title_full |
An introduction to the fractional continuous-time linear systems |
| title_fullStr |
An introduction to the fractional continuous-time linear systems |
| title_full_unstemmed |
An introduction to the fractional continuous-time linear systems |
| title_sort |
An introduction to the fractional continuous-time linear systems |
| author |
Ortigueira, M.D. |
| author_facet |
Ortigueira, M.D. |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
RUN |
| dc.contributor.author.fl_str_mv |
Ortigueira, M.D. |
| dc.subject.por.fl_str_mv |
fractional |
| topic |
fractional |
| description |
A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives. |
| publishDate |
2008 |
| dc.date.none.fl_str_mv |
2008-10-29T11:50:42Z 2008-07 2008-07-01T00:00:00Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10362/1717 |
| url |
http://hdl.handle.net/10362/1717 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
IEEE Circuits and Systems Magazine, third quarter 2008, pp 19-26 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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IEEE |
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IEEE |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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