Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model

• Autorzy: Rogowski K.
• Języki publikacji: EN

Abstrakty

EN

A new class of fractional 2D Lyapunov systems described by the Roesser models is introduced. Necessary and sufficient conditions for the positivity and asymptotic stability of the new class of systems are established. It is shown that the checking of the asymptotic stability of positive 2D fractional Lyapunov systems can be reduced to testing the asymptotic stability of corresponding positive standard 1D discretetime systems. The considerations are illustrated by a numerical example.

Słowa kluczowe

EN

positive system; stability; fractional 2D system; Lyapunov system; Roesser model

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2011
• Tom: Vol. 59, nr 2
• Strony: 195--200
• Opis fizyczny: Bibliogr. 41 poz., rys., tab.

Twórcy

autor

Rogowski K.

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

Bibliografia

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