自动化学报2011，Vol.37Issue(8)：999-1005,7.DOI:10.3724/SP.J.1004.2011.00999
一种分数阶微积分算子的有理函数逼近方法
Rational Function Approximation for Fractional Order Differential and Integral Operators
摘要
Abstract
A method of constructing the best rationed approximation function is proposed based on rational approximation theory for fractional order differential and integral operators in s domain. The idea, method, and algorithm of constructing the best rational approximation function are discussed in detail. The best rational approximation function constructed for fractional integral operator is tested and verified by using best rational approximation definition and characteristic theorem. The verification results show that the proposed method is efficient, and the best rational approximation function constructed can achieve the best approximation performance with the lowest order for a given approximation error and an interested frequency band.关键词
最佳有理逼近/分数阶微积分算子/有理函数构造/算法验证Key words
Best rational approximation, fractional order differential and integral operators, rational function constructing, algorithm verification引用本文复制引用
李文,赵慧敏..一种分数阶微积分算子的有理函数逼近方法[J].自动化学报,2011,37(8):999-1005,7.基金项目
国家自然科学基金(60870009)资助 （60870009）
