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On the Output-Additive Switching Strategy for a New Variable Type and Order Difference

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

The paper introduces definition of recursive fractional order difference for the case when type of variable order changing is varying in time. The equivalent switching strategies for this definition, which allow to better understand mechanism of type of variable order definition changing, are also given. Numerical results of comparison between given switching schemes and the definition are presented and analyzed.

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Acknowledgments

This work was supported by the Polish National Science Center with the decision number UMO-2014/15/B/ST7/00480.

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Authors and Affiliations

  1. Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

    Dominik Sierociuk, Wiktor Malesza & Michał Macias

Authors
  1. Dominik Sierociuk
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  2. Wiktor Malesza
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  3. Michał Macias
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Corresponding author

Correspondence to Dominik Sierociuk .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Sierociuk, D., Malesza, W., Macias, M. (2017). On the Output-Additive Switching Strategy for a New Variable Type and Order Difference. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_10

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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