Recursive-operational method for fractional systems: System theory without Laplace transform

• Type: Chapter or Part of a Book
• Date: 2019

Authors

Bengochea, G (Author) Other; Ortigueira, M (Author) Other; Verde Star, L (Author) Other; António Mendes Lopes (Author) FEUP

Book

Title: Applications in Engineering, Life and Social Sciences, Part B

Pages: 119-147

ISBN: 9783110571929; 9783110570922

Publisher: De Gruyter

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00T-65C

DOI: 10.1515/9783110571929-005

Abstract (EN): In this chapter we present a recursive-operational method for studying fractional continuous-time linear systems. The approach that we follow is an algebraic version of the usual convolution product. With it, we are able to compute the output of fractional linear systems. The method is recursive in the sense that we can add or remove (pseudo-) poles or zeros individually. The performance and accuracy of the method are illustrated by numerical examples. The procedure can be used also in nonlinear systems. To illustrate this feature we solve the fractional version of the logistic equation. © 2019 Walter de Gruyter GmbH, Berlin/Boston.

Language: English

Type (Professor's evaluation): Scientific