Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.
@article{bwmeta1.element.bwnjournal-article-amcv19i1p95bwm,
author = {Przemys\l aw Przyborowski and Tadeusz Kaczorek},
title = {Positive 2D discrete-time linear Lyapunov systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {19},
year = {2009},
pages = {95-105},
zbl = {1169.93364},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv19i1p95bwm}
}
Przemysław Przyborowski; Tadeusz Kaczorek. Positive 2D discrete-time linear Lyapunov systems. International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) pp. 95-105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv19i1p95bwm/
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