Szczegóły publikacji
Opis bibliograficzny
Laguerre polynomial approximation of fractional order linear systems / Piotr BANIA, Jerzy BARANOWSKI // W: Advances in the theory and applications of non-integer order systems : 5th conference on Non-integer order calculus and its applications : [4–5 July 2013], Cracow, Poland / eds. Wojciech Mitkowski, Janusz Kacprzyk, Jerzy Baranowski. — Switzerland : Springer International Publishing, cop. 2013. — (Lecture Notes in Electrical Engineering ; ISSN 1876-1100 ; vol. 257). — ISBN: 978-3-319-00932-2; e-ISBN: 978-3-319-00933-9. — S. 171–182. — Bibliogr. s. 181, Abstr.
Autorzy (2)
Dane bibliometryczne
| ID BaDAP | 74176 |
|---|---|
| Data dodania do BaDAP | 2013-07-04 |
| DOI | 10.1007/978-3-319-00933-9_15 |
| Rok publikacji | 2013 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Konferencja | 5th Conference on Non-Integer Order Calculus and its Applications |
| Czasopismo/seria | Lecture Notes in Electrical Engineering |
Abstract
This paper presents a finite dimensional approximation of fractional order linear systems and its connection with transport equation. The main results show, that the linear fractional order system can be approximated by a finite number of linear differential equations. Appropriate error estimate in C-0 norm is presented. Next, the solution of fractional order linear system is presented as a linear functional of the solution of transport equation. This result establishes a connection between the semi groups theory and fractional system theory. Considerations are illustrated with simple example of fractional oscillator.
