Exponential decay of transient values in discrete-time positive nonlinear systems

• Autorzy: Kaczorek Tadeusz , Ruszewski Andrzej

Identyfikatory

DOI

10.24425/acs.2022.142849

• Języki publikacji: EN

Abstrakty

EN

The exponential decay of transient values in discrete-time nonlinear standard and fractional orders systems with linear positive linear part and positive feedbacks is investigated. Sufficient conditions for the exponential decay of transient values in this class of positive nonlinear systems are established. A procedure for computation of gains characterizing the class of nonlinear elements are given and illustrated on simple example.

Słowa kluczowe

EN

exponential decay; transient value; discrete-time; fractional order; positive; nonlinear; feedback; system

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 3
• Strony: 577--588
• Opis fizyczny: Bibliogr. 21 poz., rys., wzory

Twórcy

autor

Kaczorek Tadeusz

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

• https://orcid.org/0000-0002-1270-3948

autor

Ruszewski Andrzej

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

Bibliografia

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• [4] T. Kaczorek: Analysis of positivity and stability of fractional discrete-time nonlinear systems. Bulletin of the Polish Academy of Science. Technical Sciences, 64(3), (2016), 491-494. DOI: 10.1515/bpasts-2016-0054.
• [5] T. Kaczorek: Exponential decay of transient values in positive nonlinear systems. Bulletin of the Polish Academy of Science. Technical Sciences, (in Press).
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• [17] W. Mitkowski: Dynamical properties of Metzler systems. Bulletin of the Polish Academy of Science. Technical Sciences, 56(4), (2008), 309-312.
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Uwagi

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)