Duality of variable fractional order difference operators and its application in identification

• Autorzy: Sierociuk D. , Twardy M.

Identyfikatory

DOI

10.2478/bpasts-2014-0089

• Języki publikacji: EN

Abstrakty

EN

The paper presents a number of definitions of variable order difference and discusses duality among some of them. The duality is used to improve the performance of the least squares estimation when applied to variable order difference fractional systems. It turns out, that by appropriate exploitation of duality one can reduce the estimator variance when system identification is carried out.

Słowa kluczowe

EN

variable order fractional calculus; duality; identification

PL

rachunek z ułamkową zmienną; dualizm; identyfikacja

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 4
• Strony: 809--815
• Opis fizyczny: Bibliogr. 34, rys., wykr., tab.

Twórcy

autor

Sierociuk D.

• Faculty of Electrical Engineering, Warsaw University of Technology, 75 Koszykowa St., 00-625 Warszawa, Poland

autor

Twardy M.

• Faculty of Electrical Engineering, Warsaw University of Technology, 75 Koszykowa St., 00-625 Warszawa, Poland

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