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Fractional Standard and Positive Descriptor Time-Varying Discrete-Time Linear Systems

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Book cover Progress in Automation, Robotics and Measuring Techniques (ICA 2015)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 350))

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Abstract

The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to the fractional descriptor time-varying discrete-time linear systems. A method for computing the solutions of the fractional systems is proposed. Necessary and sufficient conditions for the positivity of the systems are established.

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Author information

Authors and Affiliations

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

    Tadeusz Kaczorek

Authors
  1. Tadeusz Kaczorek
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Correspondence to Tadeusz Kaczorek .

Editor information

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 Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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© 2015 Springer International Publishing Switzerland

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Kaczorek, T. (2015). Fractional Standard and Positive Descriptor Time-Varying Discrete-Time Linear Systems. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Progress in Automation, Robotics and Measuring Techniques. ICA 2015. Advances in Intelligent Systems and Computing, vol 350. Springer, Cham. https://doi.org/10.1007/978-3-319-15796-2_11

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  • DOI: https://doi.org/10.1007/978-3-319-15796-2_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15795-5

  • Online ISBN: 978-3-319-15796-2

  • eBook Packages: EngineeringEngineering (R0)

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