Publication
Revisiting the 1D and 2D Laplace Transforms
| dc.contributor.author | Duarte Ortigueira, Manuel | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2022-01-12T10:58:15Z | |
| dc.date.available | 2022-01-12T10:58:15Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | 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 | pt_PT |
| dc.description.sponsorship | This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.3390/math8081330 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/19411 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | MDPI | pt_PT |
| dc.relation | Centre of Technology and Systems | |
| dc.relation.publisherversion | https://www.mdpi.com/2227-7390/8/8/1330 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | Laplace transform | pt_PT |
| dc.subject | Two-dimensional laplace transform | pt_PT |
| dc.subject | Initial-conditions | pt_PT |
| dc.subject | Two-dimensional linear systems | pt_PT |
| dc.title | Revisiting the 1D and 2D Laplace Transforms | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Centre of Technology and Systems | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT | |
| oaire.citation.issue | 8 | pt_PT |
| oaire.citation.startPage | 1330 | pt_PT |
| oaire.citation.title | Mathematics | pt_PT |
| oaire.citation.volume | 8 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Tenreiro Machado | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isProjectOfPublication | d3a79767-3398-41cb-a5ee-744a0e112724 | |
| relation.isProjectOfPublication.latestForDiscovery | d3a79767-3398-41cb-a5ee-744a0e112724 |
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