Global stability of discrete-time feedback nonlinear systems with descriptor positive linear parts and interval state matrices

• Autorzy: Kaczorek Tadeusz , Ruszewski Andrzej

Identyfikatory

DOI

10.34768/amcs-2022-0001

• Języki publikacji: EN

Abstrakty

EN

The global stability of discrete-time nonlinear systems with descriptor positive linear parts, positive scalar feedbacks and interval state matrices is addressed. Sufficient conditions for the global stability of this class of nonlinear systems are established. The effectiveness of these conditions is illustrated using numerical examples.

Słowa kluczowe

EN

global stability; positive system; nonlinear system; discrete-time system

PL

stabilność globalna; układ dodatni; układ nieliniowy; układ czasu dyskretnego

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2022
• Tom: Vol. 32, no. 1
• Strony: 5--10
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Kaczorek Tadeusz

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

autor

Ruszewski Andrzej

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

Bibliografia

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• [6] Kaczorek, T. (2011). Selected Problems of Fractional System Theory, Springer, Berlin.
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• [8] Kaczorek, T. (2019b). Global stability of nonlinear feedback systems with positive linear parts, International Journal of Nonlinear Sciences and Numerical Simulation 20(5): 575–579.
• [9] Kaczorek, T. (2020). Global stability of positive standard and fractional nonlinear feedback systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 68(2): 285–288.
• [10] Kaczorek, T. (2021). New sufficient conditions of global stability of nonlinear positive electrical circuits, in R. Szewczyk et al. (Eds), Recent Achievements in Automation, Robotics and Measurement Techniques: Automation 2021, Springer, Cham, pp. 3–9.
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• [17] Si, X., Yang, H. and Ivanov, I.G. (2021). Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems, International Journal of Applied Mathematics and Computer Science 31(1): 17–28, DOI: 10.34768/amcs-2021-0002.
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