Normalized finite fractional differences: Computational and accuracy breakthroughs

R. Stanisławski, K. Latawiec
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引用次数: 44

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. 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.
归一化有限分数差:计算和精度的突破
本文给出了离散时间分数阶差分有限记忆和无限记忆建模的一系列新结果。引入的归一化有限分数阶差分可以很好地近似其分数阶差分原,特别是在稳态性质方面。对有限分数阶差分进行了稳定性分析,并给出了一种递归计算算法。在计算和精度方面进行了深入的分析,最后引入了一个完美的有限分数差分,特别是一个强大的自适应有限分数差分,其优异的性能在仿真实例中得到了说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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