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Observability of Positive Fractional-Order Discrete-Time Systems

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Advances in the Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 257))

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Abstract

In the paper the positive linear discrete-time fractional-order (non-commensurate and commensurate order) systems described in the state space are considered. Definition and necessary and sufficient conditions for the positivity, observability are given and proven. The considerations are illustrated by a numerical example.

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Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering, Białystok University of Technology, Białystok, Poland

    Wojciech Trzasko

Authors
  1. Wojciech Trzasko
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Correspondence to Wojciech Trzasko .

Editor information

Editors and Affiliations

  1. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 20, Cracow, 30-059, Poland

    Wojciech Mitkowski

  2. , Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, Warsaw, 01-447, Poland

    Janusz Kacprzyk

  3. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 30, Cracow, 30-059, Poland

    Jerzy Baranowski

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Trzasko, W. (2013). Observability of Positive Fractional-Order Discrete-Time Systems. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_7

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_7

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

  • eBook Packages: EngineeringEngineering (R0)

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