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AUTOMATION 2018: Automation 2018 pp 213–222Cite as

Duality Principle for Positive Discrete-Time Fractional Systems with State Delay

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

Abstract

In the paper the duality principle for positive fractional discrete-time systems with one delay in state vector is addressed. The simple conditions of duality is established. The considerations are illustrated by an example. Numerical calculations have been done using MATLAB.

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Acknowledgment

The work was supported by the National Science Center in Poland under the grant 2014/13/B/ST7/03467.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351, Białystok, Poland

    Rafał Kociszewski

Authors
  1. Rafał Kociszewski
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Correspondence to Rafał Kociszewski .

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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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Kociszewski, R. (2018). Duality Principle for Positive Discrete-Time Fractional Systems with State Delay. 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_20

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  • DOI: https://doi.org/10.1007/978-3-319-77179-3_20

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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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