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Normal Fractional Positive Linear Systems and Electrical Circuits

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Automation 2019 (AUTOMATION 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 920))

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Abstract

The notion of normal fractional positive electrical circuits is introduced and some their specific properties are investigated. New state matrices of fractional positive linear systems and electrical circuits are proposed and their properties are analyzed. The zeros and poles cancellation in the transfer functions of the fractional positive systems is discussed. It is shown that the fractional positive electrical circuits with diagonal state matrices are normal for all values of resistances, inductances and capacitances.

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Acknowledgment

This work was supported by National Science Centre in Poland under work No. 2017/27/B/ST7/02443.

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Authors and Affiliations

  1. Białystok University of Technology, Wiejska 45D, 15-351, Białystok, Poland

    Tadeusz Kaczorek

Authors
  1. Tadeusz Kaczorek
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Correspondence to Tadeusz Kaczorek .

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Editors and Affiliations

  1. Industrial Research Institute for Automation and Measurements PIAP Al, Warsaw, Poland

    Roman Szewczyk

  2. Industrial Research Institute for Automation and Measurements PIAP Al, Warsaw, Poland

    Cezary Zieliński

  3. Industrial Research Institute for Automation and Measurements PIAP Al, Warsaw, Poland

    Małgorzata Kaliczyńska

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Kaczorek, T. (2020). Normal Fractional Positive Linear Systems and Electrical Circuits. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-030-13273-6_2

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