The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
@article{bwmeta1.element.bwnjournal-article-amcv20i4p665bwm,
author = {Miko\l aj Bus\l owicz},
title = {Robust stability of positive continuous-time linear systems with delays},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {20},
year = {2010},
pages = {665-670},
zbl = {1214.93076},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv20i4p665bwm}
}
Mikołaj Busłowicz. Robust stability of positive continuous-time linear systems with delays. International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) pp. 665-670. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv20i4p665bwm/
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