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Normalized finite fractional differences: Computational and accuracy breakthroughs

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Stanisławski R., Latawiec K.

International Journal of Applied Mathematics and Computer Science

2012

tom 22

nr 4

907-919

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Latawiec K.

1 Stanisławski R.

1 2012

Wyniki wyszukiwania

Normalized finite fractional differences: Computational and accuracy breakthroughs