Fractional time-invariant compartmental linear systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.34768/amcs-2023-0008

• Języki publikacji: EN

Abstrakty

EN

Fractional time-invariant compartmental linear systems are introduced. Controllability and observability of these systems are analyzed. The eigenvalue assignment problem of compartmental linear systems is considered and illustrated with a numerical example.

Słowa kluczowe

EN

compartmental system; fractional system; linear system; eigenvalue assignment

PL

układ kompartmentalny; układ ułamkowy; układ liniowy; przyporządkowanie wartości własnych

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2023
• Tom: Vol. 33, no. 1
• Strony: 97--102
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Kaczorek Tadeusz

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

Bibliografia

• [1] Busłowicz, M. (2008). Stability of linear continuous-time fractional order systems with delays of the retarded type, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(4): 319-324.
• [2] Busłowicz, M. (2012) Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders, Bulletin of the Polish Academy of Sciences: Technical Sciences 60(2): 279-284.
• [3] Farina, L. and Rinaldi, S. (2000). Positive Linear Systems: Theory and Applications, Wiley, New York.
• [4] Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer, London.
• [5] Kaczorek, T. (2010). Positive linear systems with different fractional orders, Bulletin of the Polish Academy of Sciences: Technical Sciences 58(3): 453-458.
• [6] Kaczorek, T. (2011a). Selected Problems of Fractional System Theory, Springer, Berlin.
• [7] Kaczorek, T. (2011b). Positive linear systems consisting of n subsystems with different fractional orders, IEEE Transactions on Circuits and Systems 58(7): 1203-1210.
• [8] Kaczorek, T. and Rogowski, K. (2015). Fractional Linear Systems and Electrical Circuits, Springer, Cham.
• [9] Ruszewski, A. (2019). Stability of discrete-time fractional linear systems with delays, Archives of Control Sciences 29(3): 549-567.
• [10] Sajewski, Ł. (2016). Descriptor fractional discrete-time linear system with two different fractional orders and its solution, Bulletin of the Polish Academy of Sciences: Technical Sciences 64(1): 15-20.

Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)