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  • 标题:Time-Delay and Fractional Derivatives
  • 本地全文:下载
  • 作者:J.A. Tenreiro Machado
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2011
  • 卷号:2011
  • 期号:1
  • 页码:934094
  • DOI:10.1155/2011/934094
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 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.
  • 关键词:Fractional Order ; Fractional Derivative ; Fractional Operator ; Fractional Calculus ; Optimal System Control
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