Positivity and stability of discrete-time and continuous-time nonlinear systems

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.15199/48.2015.08.30

Warianty tytułu

PL

Dodatniość i stabilność dyskretnych i ciągłych układów nieliniowych

• Języki publikacji: EN

Abstrakty

EN

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

PL

Przedstawione zostaną dodatnie i stabilne asymptotycznie nieliniowe układy dyskretne i ciągłe. Podane zostaną warunki wystarczające dodatniości i stabilności asymptotycznej układów nieliniowych. Proponowane metody badania stabilności zostaną oparte na uogólnieniu metody Lyapunova. Efektywność testów zostanie zademonstrowana na przykładach numerycznych.

Słowa kluczowe

EN

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

PL

dodatnie; stabilność asymptotyczna; metoda Lyapunova

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2015
• Tom: R. 91, nr 8
• Strony: 127--130
• Opis fizyczny: Bibliogr. 22 poz., wykr.

Twórcy

autor

Kaczorek T.

• Politechnika Białostocka, Wydział Elektryczny, ul. Wiejska 45D, 15-351 Białystok

Bibliografia

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• [20] Kaczorek T., Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin 2012.
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