The choice of the forms of Lyapunov functions for a positive 2D Roesser model
Kaczorek, Tadeusz
International Journal of Applied Mathematics and Computer Science, Tome 17 (2007), p. 471-475 / Harvested from The Polish Digital Mathematics Library
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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 A^{T}PA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:207852 
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     author = {Kaczorek, Tadeusz},
     title = {The choice of the forms of Lyapunov functions for a positive 2D Roesser model},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {17},
     year = {2007},
     pages = {471-475},
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Kaczorek, Tadeusz. 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) pp. 471-475. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv17i4p471bwm/

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