New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties

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...

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Detalhes bibliográficos
Autor principal: Ortigueira, Manuel D. (author)
Outros Autores: Machado, J. A. Tenreiro (author)
Formato: article
Idioma:eng
Publicado em: 2021
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/19020
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/19020