Analysis of positivity and stability of fractional discrete-time nonlinear systems

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.1515/bpasts-2016-0054

• Języki publikacji: EN

Abstrakty

EN

The positivity and asymptotic stability of the fractional discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity and sufficient conditions for the asymptotic stability of the fractional nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive fractional nonlinear systems. The effectiveness of tests is demonstrated on examples.

Słowa kluczowe

EN

positive; fractional; discrete-time; asymptotic stability; nonlinear; Lyapunov method

PL

dodatnie układy dyskretne; ułamkowy układ dyskretny; stabilność asymptotyczna; metoda Lapunowa

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 3
• Strony: 491--494
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Kaczorek T.

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

Bibliografia

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• [19] T. Kaczorek, “Positivity and linearization of a class of nonlinear discrete-time systems by state feedbacks”, Logistyka, 6, 5078–5083 (2014).
• [20] T. Kaczorek, “Positivity and stability of discrete-time nonlinear systems”, IEEE 2nd International Conference on Cybernetics, 156–159 (2015).
• [21] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin, 2012.
• [22] P. Ostalczyk, “Discrete Fractional Calculus. Selected Applications in Control and Image Processing”, Series in Computer Vision, 4 (2016).
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