Normalized finite fractional differences: Computational and accuracy breakthroughs

Rafał Stanisławski ; Krzysztof J. Latawiec

International Journal of Applied Mathematics and Computer Science, Tome 22 (2012), p. 907-919 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2012-01-01

Zbl 1283.93176

EUDML-ID : urn:eudml:doc:244564

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