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...

Full description

Bibliographic Details
Main Authors: Manuel D. Ortigueira, J.A. Tenreiro Machado
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Journal of Advanced Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090123220300357

Similar Items