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Aspects of the Finite Step Observability of Fractional Order Discrete-Time Polynomial Systems

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Advances in Non-Integer Order Calculus and Its Applications (RRNR 2018)

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Abstract

Discrete-time polynomial control systems described by the Grünwald-Letnikov h-type difference operator are considered. For this class of systems the observability problem is studied. Since the crucial idea of systems’ observability is related to choosing inputs based only on output measurements, different aspects to this problem are discussed.

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Notes

  1. 1.

    If \(\varOmega =\mathcal {K}^m\), then as B one can choose the set of m-variable monomials. If \(\varOmega \) is a proper algebraic set then B can be a linearly independent subset of such monomials, see for example [4, 20].

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Acknowledgment

The work has been supported by grant No. S/WM/1/2016 of Bialystok University of Technology, financed by Polish Ministry of Science and Higher Education.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45C, 15-531, Bialystok, Poland

    Ewa Pawluszewicz

Authors
  1. Ewa Pawluszewicz
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Correspondence to Ewa Pawluszewicz .

Editor information

Editors and Affiliations

  1. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Agnieszka B. Malinowska

  2. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Dorota Mozyrska

  3. Faculty of Electrical Engineering, Bialystok University of Technology, Białystok, Poland

    Łukasz Sajewski

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Pawluszewicz, E. (2020). Aspects of the Finite Step Observability of Fractional Order Discrete-Time Polynomial Systems. In: Malinowska, A., Mozyrska, D., Sajewski, Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-030-17344-9_14

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