Numerical simulations of fractional systems: An overview of existing methods and improvements

被引：88
|
作者：
Aoun, M
Malti, R
Levron, F
Oustaloup, A
机构：
[1] Univ Bordeaux 1, CNRS, UMR 5131, LAP,ENSEIRB, F-33405 Talence, France
[2] Univ Paris 12, UT Senart, IS, F-77127 Lieusaint, France
[3] Univ Bordeaux 1, Math Inst, F-33405 Talence, France
来源：
NONLINEAR DYNAMICS | 2004年 / 38卷 / 1-4期
关键词：
continuous time model; discrete time model; fractional model; fractional calculus; modeling; numerical simulation;
D O I：
10.1007/s11071-004-3750-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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
收藏
页码：117 / 131
页数：15
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