Revisiting the 1D and 2D Laplace Transforms

Detalhes bibliográficos
Autor(a) principal: Duarte Ortigueira, Manuel
Data de Publicação: 2020
Outros Autores: Machado, J. A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10400.22/19411
Resumo: The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem. This problem is solved with all generality in the one- and two-dimensional cases with the bilateral Laplace transform. The case of fractional-order systems is also included. General two-dimensional linear systems are introduced and the corresponding transfer function is defined
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spelling Revisiting the 1D and 2D Laplace TransformsLaplace transformTwo-dimensional laplace transformInitial-conditionsTwo-dimensional linear systemsThe paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem. This problem is solved with all generality in the one- and two-dimensional cases with the bilateral Laplace transform. The case of fractional-order systems is also included. General two-dimensional linear systems are introduced and the corresponding transfer function is definedMDPIREPOSITÓRIO P.PORTODuarte Ortigueira, ManuelMachado, J. A. Tenreiro2022-01-12T10:58:15Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/19411eng10.3390/math8081330info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:06:20Zoai:recipp.ipp.pt:10400.22/19411Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:41:34.614523Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Revisiting the 1D and 2D Laplace Transforms
title Revisiting the 1D and 2D Laplace Transforms
spellingShingle Revisiting the 1D and 2D Laplace Transforms
Duarte Ortigueira, Manuel
Laplace transform
Two-dimensional laplace transform
Initial-conditions
Two-dimensional linear systems
title_short Revisiting the 1D and 2D Laplace Transforms
title_full Revisiting the 1D and 2D Laplace Transforms
title_fullStr Revisiting the 1D and 2D Laplace Transforms
title_full_unstemmed Revisiting the 1D and 2D Laplace Transforms
title_sort Revisiting the 1D and 2D Laplace Transforms
author Duarte Ortigueira, Manuel
author_facet Duarte Ortigueira, Manuel
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Duarte Ortigueira, Manuel
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Laplace transform
Two-dimensional laplace transform
Initial-conditions
Two-dimensional linear systems
topic Laplace transform
Two-dimensional laplace transform
Initial-conditions
Two-dimensional linear systems
description The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem. This problem is solved with all generality in the one- and two-dimensional cases with the bilateral Laplace transform. The case of fractional-order systems is also included. General two-dimensional linear systems are introduced and the corresponding transfer function is defined
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
2022-01-12T10:58:15Z
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/10400.22/19411
url http://hdl.handle.net/10400.22/19411
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/math8081330
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.mail.fl_str_mv info@rcaap.pt
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