- Tytuł:
- Normalized finite fractional differences: Computational and accuracy breakthroughs
- Autorzy:
-
Stanisławski, R.
Latawiec, K. J. - Powiązania:
- https://bibliotekanauki.pl/articles/331334.pdf
- Data publikacji:
- 2012
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
różnica ułamkowa
różnica Grünwalda-Letnikowa
analiza stabilności
system adaptacyjny
fractional difference
Grünwald-Letnikov difference
stability analysis
recursive computation
adaptive systems - Opis:
- This paper presents a series of new results in finite and infinite-memory modeling of discrete-time fractional differences. The introduced normalized finite fractional difference is shown to properly approximate its fractional difference original, in particular in terms of the steady-state properties. A stability analysis is also presented and a recursive computation algorithm is offered for finite fractional differences. A thorough analysis of computational and accuracy aspects is culminated with the introduction of a perfect finite fractional difference and, in particular, a powerful adaptive finite fractional difference, whose excellent performance is illustrated in simulation examples.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 907-919
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł