TY - GEN A1 - Stanisławski, Rafał A1 - Latawiec, Krzysztof J. A2 - Cordón, Oskar - ed. A2 - Kazienko, Przemysław - ed. PB - Zielona Góra: Uniwersytet Zielonogórski N2 - 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. N2 - 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. L1 - http://www.zbc.uz.zgora.pl/Content/59001/AMCS_2012_22_4_10.pdf L2 - http://www.zbc.uz.zgora.pl/Content/59001 KW - fractional difference KW - Grünwald-Letnikov KW - difference KW - stability analysis KW - recursive computation KW - adaptive systems T1 - Normalized finite fractional differences: Computational and accuracy breakthroughs UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=59001 ER -