Revisiting the 1D and 2D laplace transforms

Bibliographic Details
Main Author: Ortigueira, Manuel Duarte
Publication Date: 2020
Other Authors: Machado, José Tenreiro
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/113256
Summary: Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020.
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spelling Revisiting the 1D and 2D laplace transformsInitial-conditionsLaplace transformTwo-dimensional laplace transformTwo-dimensional linear systemsMathematics(all)Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020.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.CTS - Centro de Tecnologia e SistemasDEE2010-B2 SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNOrtigueira, Manuel DuarteMachado, José Tenreiro2021-03-05T23:53:07Z2020-08-102020-08-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherapplication/pdfhttp://hdl.handle.net/10362/113256engPURE: 28463896https://doi.org/10.3390/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:RCAAP2024-06-10T01:44:45Zoai:run.unl.pt:10362/113256Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:22:19.317244Repositórios 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
Ortigueira, Manuel Duarte
Initial-conditions
Laplace transform
Two-dimensional laplace transform
Two-dimensional linear systems
Mathematics(all)
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 Ortigueira, Manuel Duarte
author_facet Ortigueira, Manuel Duarte
Machado, José Tenreiro
author_role author
author2 Machado, José Tenreiro
author2_role author
dc.contributor.none.fl_str_mv CTS - Centro de Tecnologia e Sistemas
DEE2010-B2 Sistemas
UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
DEE - Departamento de Engenharia Electrotécnica e de Computadores
RUN
dc.contributor.author.fl_str_mv Ortigueira, Manuel Duarte
Machado, José Tenreiro
dc.subject.por.fl_str_mv Initial-conditions
Laplace transform
Two-dimensional laplace transform
Two-dimensional linear systems
Mathematics(all)
topic Initial-conditions
Laplace transform
Two-dimensional laplace transform
Two-dimensional linear systems
Mathematics(all)
description Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020.
publishDate 2020
dc.date.none.fl_str_mv 2020-08-10
2020-08-10T00:00:00Z
2021-03-05T23:53:07Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/113256
url http://hdl.handle.net/10362/113256
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv PURE: 28463896
https://doi.org/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.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
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833596644603461632

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