Normalized finite fractional differences: Computational and accuracy breakthroughs

• Autorzy: Rafał Stanisławski , Krzysztof J. Latawiec
• 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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 4
• Strony: 907-919

Daty

wydano

2012

otrzymano

2011-06-16

poprawiono

2011-11-18

poprawiono

2012-04-16

Twórcy

autor

Rafał Stanisławski

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

autor

Krzysztof J. Latawiec

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

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Identyfikatory

DOI

10.2478/v10006-012-0067-9