Normalized finite fractional differences: Computational and accuracy breakthroughs

• Autorzy: Stanisławski R. , Latawiec K. J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional difference; Grünwald-Letnikov difference; stability analysis; recursive computation; adaptive systems

PL

różnica ułamkowa; różnica Grünwalda-Letnikowa; analiza stabilności; system adaptacyjny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: Vol. 22, no. 4
• Strony: 907--919
• Opis fizyczny: Bibliogr. 37 poz., tab., wykr.

Twórcy

autor

Stanisławski R.

autor

Latawiec K. J.

• Institute of Control and Computer Engineering, Opole University of Technology, ul. Sosnkowskiego 31, 45-272 Opole, Poland,

Bibliografia

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