Unified construction of fractional generalized orthogonal bases
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| hal.structure.identifier | Laboratoire d'Automatique, Productique et Signal [LAPS] | |
| dc.contributor.author | MALTI, Rachid | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| hal.structure.identifier | Laboratoire d'Automatique, Productique et Signal [LAPS] | |
| dc.contributor.author | AOUN, Mohamed | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LEVRON, François | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| hal.structure.identifier | Laboratoire d'Automatique, Productique et Signal [LAPS] | |
| dc.contributor.author | OUSTALOUP, Alain | |
| dc.date.accessioned | 2024-04-04T02:35:29Z | |
| dc.date.available | 2024-04-04T02:35:29Z | |
| dc.date.created | 2005 | |
| dc.date.issued | 2005 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190641 | |
| dc.description.abstractEn | A unified approach is presented for the synthesis of continuous-time fractional Generalized orthogonal bases including Laguerre-like, Kautz-like and the Generalized-Orthogonal-Basis-like(GOB-like) bases. They extend the definitions of their rational counterpart to fractional differentiation orders. Modes can either be chosen to be real or by pairs complex conjugate. Completeness of fractional Laguerre-like basis is demonstrated. | |
| dc.language.iso | en | |
| dc.publisher | U-Books | |
| dc.source.title | Fractional Differentiation and its Applications. | |
| dc.title.en | Unified construction of fractional generalized orthogonal bases | |
| dc.type | Chapitre d'ouvrage | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Automatique / Robotique | |
| bordeaux.page | 87-102 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.title.proceeding | Fractional Differentiation and its Applications. | |
| hal.identifier | hal-00401591 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00401591v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Fractional%20Differentiation%20and%20its%20Applications.&rft.date=2005&rft.spage=87-102&rft.epage=87-102&rft.au=MALTI,%20Rachid&AOUN,%20Mohamed&LEVRON,%20Fran%C3%A7ois&OUSTALOUP,%20Alain&rft.genre=unknown |
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