Publicação
New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties
| dc.contributor.author | Ortigueira, Manuel D. | |
| dc.contributor.author | Tenreiro Machado, J. A. | |
| dc.contributor.institution | CTS - Centro de Tecnologia e Sistemas | |
| dc.contributor.institution | UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias | |
| dc.contributor.pbl | Elsevier BV | |
| dc.date.accessioned | 2021-03-19T23:28:48Z | |
| dc.date.available | 2021-03-19T23:28:48Z | |
| dc.date.issued | 2020-09 | |
| dc.description | UIDB/00066/2020 | |
| 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. | en |
| dc.description.version | publishersversion | |
| dc.description.version | published | |
| dc.format.extent | 10 | |
| dc.format.extent | 841378 | |
| dc.identifier.doi | 10.1016/j.jare.2020.02.011 | |
| dc.identifier.issn | 2090-1232 | |
| dc.identifier.other | PURE: 28463628 | |
| dc.identifier.other | PURE UUID: ead3e6fd-a4ed-4eb0-93e8-54e926e3b4c1 | |
| dc.identifier.other | Scopus: 85082812302 | |
| dc.identifier.other | PubMed: 32922968 | |
| dc.identifier.other | PubMedCentral: PMC7474201 | |
| dc.identifier.other | WOS: 000568361200001 | |
| dc.identifier.uri | http://hdl.handle.net/10362/114148 | |
| dc.identifier.url | https://www.scopus.com/pages/publications/85082812302 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.subject | bilinear transformation | |
| dc.subject | Discrete-time | |
| dc.subject | Fractional derivative | |
| dc.subject | Time scale | |
| dc.subject | General | |
| dc.title | New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties | en |
| dc.type | review | |
| degois.publication.firstPage | 1 | |
| degois.publication.lastPage | 10 | |
| degois.publication.title | Journal of Advanced Research | |
| degois.publication.volume | 25 | |
| dspace.entity.type | Publication | |
| rcaap.rights | openAccess |
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