DELAY APPROXIMATION OF FRACTIONAL INTEGRALS

J. A. Tenreiro Machado

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DELAY APPROXIMATION OF FRACTIONAL INTEGRALS

机译：分数积分的延迟逼近

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This paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag-Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.

机译：本文探讨了利用时延算子计算分数积分的方法。该研究首先回顾了小数运算符的存储属性及其与时间延迟的关系。基于Mittag-Leffler函数的时间响应，提出了由时间延迟样本组成的分数积分的逼近。通过遗传算法优化近似值的调整。结果证明了新观点的可行性及其应用的局限性。

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来源
《Asian Journal of Control》 |2013年第3期|713-722|共10页
作者
J. A. Tenreiro Machado;
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作者单位

Institute of Engineering of Polytechnic of Porto, Dept. of Electrical Engineering Rua Dr. Antonio Bernardino de Almeida, 431,4200-072 Porto,Portugal;

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正文语种 eng
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关键词
Fractional derivatives; delay; fractional calculus;

机译：小数导数;延迟;分数演算;

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DELAY APPROXIMATION OF FRACTIONAL INTEGRALS

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