Publication
New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties
| dc.contributor.author | Ortigueira, Manuel D. | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2021-12-07T15:22:38Z | |
| dc.date.available | 2021-12-07T15:22:38Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this paper we introduce new discrete-time derivative concepts based on the bilinear (Tustin) transformation. From the new formulation, we obtain derivatives that exhibit a high degree of similarity with the continuous-time Grünwald-Letnikov derivatives. Their properties are described highlighting one important feature, namely that such derivatives have always long memory. | pt_PT |
| dc.description.sponsorship | This work was partially funded by National Funds through theFoundation 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 | 10.1016/j.jare.2020.02.011 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/19020 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | Centre of Technology and Systems | |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S2090123220300357 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | Discrete-time | pt_PT |
| dc.subject | Fractional derivative | pt_PT |
| dc.subject | Time scale | pt_PT |
| dc.subject | Bilinear transformation | pt_PT |
| dc.title | New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties | 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.endPage | 10 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Journal of Advanced Research | pt_PT |
| oaire.citation.volume | 25 | 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 | |
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