Time-Delay and Fractional Derivatives

Advances in Difference Equations

J.A. Tenreiro Machado¹ 

[1] Department of Electrical Engineering, Institute of Engineering of Porto, Porto, Portugal

关键词: Fractional Order;    Fractional Derivative;    Fractional Operator;    Fractional Calculus;    Optimal System Control;   

DOI  :  10.1155/2011/934094

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based on the Fourier analysis an approximation of fractional derivatives through time-delayed samples is developed. Furthermore, the parameters of the proposed approximation are estimated by means of genetic algorithms. The results demonstrate the feasibility of the new perspective.

【 授权许可】

CC BY