Exponential decay of transient values in positive nonlinear systems

• Autorzy: Kaczorek, Tadeusz
• Języki publikacji: EN

Abstrakty

EN

The exponential decay of transient values in nonlinear continuous-time standard and fractional orders with linear dynamical positive feedback systems and of positive linear parts is investigated. Sufficient conditions for the exponential decay of transient values in this class of positive nonlinear systems are established. Procedures for the computation of gains characterizing the class of nonlinear elements are given and illustrated in simple examples.

Słowa kluczowe

PL

wartość przejściowa; rząd ułamkowy; dodatni nieliniowy układ sprzężenia zwrotnego dynamicznego; prawo rozpadu naturalnego

EN

exponential decay; transient value; fractional order; positive nonlinear dynamical feedback system

• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2024
• Tom: Vol. 72, nr 5
• Strony: art. no. e151050
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Kaczorek, Tadeusz

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

Bibliografia

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• [3] T. Kaczorek, Selected Problems of Fractional Systems Theory, Berlin: Springer 2011.
• [4] T. Kaczorek and K. Rogowski, Fractional Linear Systems and Electrical Circuits, Cham: Springer 2015.
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• [16] T. Kaczorek, “Stability of fractional positive nonlinear systems,” Arch. Control Sci., vol. 25, no. 4, pp. 491–496, 2015, doi: 10.1515/acsc-2015-0031.
• [17] T. Kaczorek and A. Ruszewski, “Global stability of discrete-time nonlinear systems with descriptor standard and fractional positive linear parts and scalar feedbacks,” Arch. Control Sci., vol. 30, no. 4, pp. 667–681, 2020, doi: 10.24425/acs.2020.135846.
• [18] A. Ruszewski, “Stability of discrete-time fractional linear systems with delays,” Arch. Control Sci., vol. 29, no. 3, pp. 549–567, 2019, doi: 10.24425/acs.2019.130205.
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• [20] H. Leipholz, Stability Theory, New York Academic Press, 1970.

Identyfikatory

DOI

10.24425/bpasts.2024.151050