- Tytuł:
- Remarks on five equivalent forms of the fractional – order backward – difference
- Autorzy:
- Ostalczyk, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/202441.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
discrete systems
fractional order backward difference
fractional - order backward sum - Opis:
- In this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition formula and its Horner equivalent form one derives the Riemann-Liouville FOBD (RL - FOBD). Also the Caputo and polynomial-like forms are defined. All forms may be useful in real-time calculations (in the evaluation of digital control strategies) due to the reduction of fractional orders. The investigations are illustrated by a numerical example.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 271-278
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł