Remarks on five equivalent forms of the fractional – order backward – difference

• Autorzy: Ostalczyk P.

Identyfikatory

DOI

10.2478/bpasts-2014-0027

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

discrete systems; fractional order backward difference; fractional - order backward sum

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 2
• Strony: 271--278
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Ostalczyk P.

• Institute of Applied Computer Science, Lodz University of Technology, 18/ 22 Stefanowskiego St., 90-924 Łodź, Poland

Bibliografia

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