Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

被引：20

作者：

Mohamed Aoun

Rachid Malti

François Levron

Alain Oustaloup

机构：

[1] LAP—UMR 5131 CNRS—Université Bordeaux I—ENSEIRB,Institut de Mathématique de Bordeaux

[2] IS—UT de Sénart—Université Paris 12,undefined

[3] Université de Bordeaux I,undefined

来源：

Nonlinear Dynamics | 2004年 / 38卷

关键词：

continuous time model; discrete time model; fractional model; fractional calculus; modeling; numerical simulation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An overview of the main simulation methods of fractional systems is presented. Based on Oustaloup’s recursive poles and zeros approximation of a fractional integrator in a frequency band, some improvements are proposed. They take into account boundary effects around outer frequency limits and simplify the synthesis of a rational approximation by eliminating arbitrarily chosen parameters.

引用

页码：117 / 131

页数：14

共 23 条

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Oustaloup A.(undefined)undefined undefined undefined undefined-undefined

[10]

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