Considerations about the choice of a differintegrator

Manuel D. Ortigueira, J. A Tenreiro Machado, J. Sá Da Costa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear making difficult its use in a systematic way. This paper studies the fractional differintegration definition problem from a systems point of view. Both local (Grünwald-Letnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation must be adopted since it is coherent with usual practice in signal processing and control applications.

Original languageEnglish
Title of host publicationICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings
EditorsW. Elmenreich, W. Haidinger, J.A.T. Machado
Pages385-389
Number of pages5
Publication statusPublished - 2004
EventICCC 2004 - Second IEEE International Conference on Computational Cybernetics - Vienna, Austria
Duration: 30 Aug 20041 Sep 2004

Conference

ConferenceICCC 2004 - Second IEEE International Conference on Computational Cybernetics
CountryAustria
CityVienna
Period30/08/041/09/04

Keywords

  • Fractional calculus
  • Fractional derivatives
  • Cauchy formulation
  • Differintegrators
  • Linear control systems
  • Signal processing
  • Electromagnetism
  • Fourier transforms
  • Functions
  • Laplace transforms
  • Integration

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