Geodesic
The choice of the forms of Lyapunov functions for a positive 2D Roesser model
International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) no. 4, pp. 471-475.

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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.
Keywords: Lyapunov function, positive 2D Roesser model, asymptotic analysis
Mots-clés : funkcja Lapunowa, model Roessera, stabilność asymptotyczna 
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Kaczorek, T. The choice of the forms of Lyapunov functions for a positive 2D Roesser model. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) no. 4, pp. 471-475. http://geodesic.mathdoc.fr/item/IJAMCS_2007_17_4_a4/

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