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Tytuł artykułu

Full-order observers for linear fractional multi-order difference systems

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper is devoted to the construction of observers for linear fractional multi–order difference systems with Riemann–Liouville– and Grünwald–Letnikov–type operators. Basing on the Z-transform method the sufficient condition for the existence of the presented observers is established. The behaviour of the constructed observer is demonstrated in numerical examples.
Rocznik
Strony
891--989
Opis fizyczny
Bibliogr. 38 poz., wykr,
Twórcy
autor
  • Faculty of Computer Science Bialystok University of Technology Wiejska 45A, 15-351 Białystok, Poland
Bibliografia
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  • [8] D. Mozyrska, E. Pawłuszewicz, and M.Wyrwas, “Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation”, International Journal of Systems Science 48 (4), 788–794, 2017.
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  • [29] F.M. Atıcı and P.W.Eloe, “A transform method in discrete fractional calculus”, International Journal of Difference Equations 2, 165–176 (2007).
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  • [35] R. Stanisławski and K.J. Latawiec, “Stability analysis for discrete-time fractional-order LTI state-space systems. Part I: New necessary and sufficient conditions for the asymptotic stability”, Bull. Pol. Ac.: Tech. 61 (2), 353–361, (2013).
  • [36] R. Stanisławski and K.J. Latawiec, “Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems”, Bull. Pol. Ac.: Tech. 61 (2), 363–370, (2013).
  • [37] D. Mozyrska, “Multiparameter fractional difference linear control systems”, Discrete Dynamics in Nature and Society, 2014, 8 pages (2014).
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Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-684b71e6-2c56-4722-9e31-b37bb40d9eb7
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