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Duality Properties of Variable-Type and -Order Differences

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Non-Integer Order Calculus and its Applications (RRNR 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 496))

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Abstract

In the paper, properties between different types of variable-type and -order differences are studied. It is shown that so called duality property, i.e., composition of two differences yields original function, holds only between some specific types of differences. The obtained result is illustrated by simulation examples.

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Acknowledgment

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

    Wiktor Malesza & Dominik Sierociuk

Authors
  1. Wiktor Malesza
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  2. Dominik Sierociuk
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Corresponding author

Correspondence to Wiktor Malesza .

Editor information

Editors and Affiliations

  1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Piotr Ostalczyk

  2. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Dominik Sankowski

  3. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Jacek Nowakowski

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Malesza, W., Sierociuk, D. (2019). Duality Properties of Variable-Type and -Order Differences. In: Ostalczyk, P., Sankowski, D., Nowakowski, J. (eds) Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol 496. Springer, Cham. https://doi.org/10.1007/978-3-319-78458-8_9

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  • DOI: https://doi.org/10.1007/978-3-319-78458-8_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78457-1

  • Online ISBN: 978-3-319-78458-8

  • eBook Packages: EngineeringEngineering (R0)

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