Automation and Remote Control

, Volume 74, Issue 4, pp 543–574

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

Authors

  • A. G. Butkovskii
    • Trapeznikov Institute of Control SciencesRussian Academy of Sciences
  • S. S. Postnov
    • Trapeznikov Institute of Control SciencesRussian Academy of Sciences
  • E. A. Postnova
    • Trapeznikov Institute of Control SciencesRussian Academy of Sciences
    • Moscow State University
Reviews

DOI: 10.1134/S0005117913040012

Cite this article as:
Butkovskii, A.G., Postnov, S.S. & Postnova, E.A. Autom Remote Control (2013) 74: 543. doi:10.1134/S0005117913040012

Abstract

The review is devoted to using the fractional integro-differential calculus for description of the dynamics of various systems and control processes. Consideration was given to the basic notions of the fractional integro-differential calculus and the problem of interpretation of the fractional operators. Presented were examples of physical systems described in terms of the apparatus under consideration.

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© Pleiades Publishing, Ltd. 2013