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

Ortigueira, Manuel D.; Tenreiro Machado, J. A.

http://hdl.handle.net/10362/114148

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Autores

Ortigueira, Manuel D.

Tenreiro Machado, J. A.

Resumo(s)

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.

Descrição

UIDB/00066/2020

Palavras-chave

bilinear transformation Discrete-time Fractional derivative Time scale General

URI

http://hdl.handle.net/10362/114148

DOI

10.1016/j.jare.2020.02.011

Coleções

Home collection (FCT)

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