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Reachability and Observability of the Fractional Linear Systems with State and Output Feedbacks

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Automation 2018 (AUTOMATION 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 743))

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Abstract

The reachability and observability of the fractional linear discrete-time and continuous-time systems with state and output feedbacks are addressed. Necessary and sufficient conditions for the reachability and observability of the systems are established. It is shown that the reachability is invariant under the state feedbacks and the observability under the output feedbacks.

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Acknowledgment

This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, 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, Warsaw, Poland

    Roman Szewczyk

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

    Cezary Zieliński

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

    Małgorzata Kaliczyńska

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Kaczorek, T. (2018). Reachability and Observability of the Fractional Linear Systems with State and Output Feedbacks. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2018. AUTOMATION 2018. Advances in Intelligent Systems and Computing, vol 743. Springer, Cham. https://doi.org/10.1007/978-3-319-77179-3_11

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  • DOI: https://doi.org/10.1007/978-3-319-77179-3_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-77178-6

  • Online ISBN: 978-3-319-77179-3

  • eBook Packages: EngineeringEngineering (R0)

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