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The Initial Problem for a Discrete, Scalar Fractional Order System

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Automation 2022: New Solutions and Technologies for Automation, Robotics and Measurement Techniques (AUTOMATION 2022)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1427))

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Abstract

In the paper the initial problem for a scalar, discrete, fractional order system is addressed. The fractional operator is expressed using Continuous Fraction Expansion approximation. Results are illustrated by simulations.

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Acknowledgments

This paper was sponsored by AGH UST project no 16.16.120.773.

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Authors and Affiliations

  1. Department of Automatic Control and Robotics, Faculty of Electrical Engineering, Automatic Control, Informatics and Biomedical Engineering, AGH University of Science and Technology, al. A Mickiewicza 30, 30-059, Krakow, Poland

    Krzysztof Oprzędkiewicz

Authors
  1. Krzysztof Oprzędkiewicz
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Corresponding author

Correspondence to Krzysztof Oprzędkiewicz .

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Editors and Affiliations

  1. Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Roman Szewczyk

  2. Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Cezary Zieliński

  3. Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Oprzędkiewicz, K. (2022). The Initial Problem for a Discrete, Scalar Fractional Order System. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2022: New Solutions and Technologies for Automation, Robotics and Measurement Techniques. AUTOMATION 2022. Advances in Intelligent Systems and Computing, vol 1427. Springer, Cham. https://doi.org/10.1007/978-3-031-03502-9_2

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