@misc{Stanisławski_Rafał_Normalized, author={Stanisławski, Rafał and Latawiec, Krzysztof J.}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={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.}, abstract={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.}, type={artykuł}, title={Normalized finite fractional differences: Computational and accuracy breakthroughs}, keywords={fractional difference, Grünwald-Letnikov, difference, stability analysis, recursive computation, adaptive systems}, }