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Avtomatika i Telemekhanika, 2013, Issue 5, Pages 3–34 (Mi at4981)  
This article is cited in 34 scientific papers (total in 34 papers)

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Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation

A. G. Butkovskii, S. S. Postnova, E. A. Postnovaab

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b Moscow State University, Moscow, Russia
Full-text PDF (343 kB) Citations (34)
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Abstract: The review was devoted to describing the dynamics of various systems and control processes in terms of the fractional integro-differential calculus. Consideration was given to particular types of the fractional differential equations and models of the fractional dynamic systems. Qualitative dynamics and the issues of stability and controllability of such systems were discussed. The analog and digital implementations of the fractional operations with the use of electrical and optical circuits were presented, as well as the models and methods of hardware implementation of the fractional controllers.
Presented by the member of Editorial Board: I. V. Roublev

Received: 13.02.2012
English version:
Automation and Remote Control, 2013, Volume 74, Issue 5, Pages 725–749
DOI: https://doi.org/10.1134/S0005117913050019
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Butkovskii, S. S. Postnov, E. A. Postnova, “Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation”, Avtomat. i Telemekh., 2013, no. 5, 3–34; Autom. Remote Control, 74:5 (2013), 725–749
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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