Divisibility of the second-order minors of the nominators by minimal denominators of transfer matrices of cyclic fractional linear systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.34768/amcs-2021-0043

• Języki publikacji: EN

Abstrakty

EN

The divisibility of the second-order minors of the numerators of transfer matrices by their minimal denominators for cyclic fractional linear systems is analyzed. It is shown that all nonzero second-order minors of the numerators of the transfer matrices are divisible by their minimal denominators if and only if the system matrices of fractional standard and descriptor linear systems are cyclic. The theorems are illustrated by examples of fractional standard and descriptor linear systems.

Słowa kluczowe

EN

divisibility; second order minor; transfer matrix; cyclic system; fractional system; linear system

PL

podzielność; macierz transferu; układ cykliczny; układ ułamkowy; układ liniowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2021
• Tom: Vol. 31, no. 4
• Strony: 627--633
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kaczorek Tadeusz

• Faculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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• [4] Kaczorek, T. (2011b). Selected Problems of Fractional Systems Theory, Springer, Berlin.
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• [13] Ruszewski, A. (2019a). Stability of discrete-time fractional linear systems with delays, Archives of Control Sciences 29(3): 549–567.
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• [15] Sajewski, L. (2017a). Decentralized stabilization of descriptor fractional positive continuous-time linear systems with delays, 22nd International Conference a Methods and Models in Automation and Robotics, Międzyzdroje, Poland, pp. 482–487.
• [16] Sajewski, L.(2017b). Stabilization of positive descriptor fractional discrete-time linear systems with two different fractional orders by decentralized controller, Bulletin of the Polish Academy of Sciences: Technical Sciences 65(5): 709–714.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).