The choice of the forms of Lyapunov functions for a positive 2D Roesser model

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix ATPA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.

Słowa kluczowe

EN

Lyapunov function; positive 2D Roesser model; asymptotic analysis

PL

funkcja Lapunowa; model Roessera; stabilność asymptotyczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: Vol. 17, no 4
• Strony: 471--475
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Kaczorek T.

• Institute of Control and Industrial Electronics,Warsaw University of Technology, ul. Koszykowa 75, 00–662 Warsaw, Poland,

Bibliografia

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