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Invariant Subspaces of Fractional Linear Continuous-Time Systems

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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

The A-invariant and (A,B)-invariant linear subspaces are introduced for fractional linear continuous-time linear systems. The basic properties of these invariant linear subspaces are extended to the fractional linear systems and illustrated on simple examples. An extension to fractional descriptor linear systems is also given.

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Acknowledgements

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. 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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Kaczorek, T. (2022). Invariant Subspaces of Fractional Linear Continuous-Time Systems. 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_1

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