The region of asymptotic null controllability of bilinear systems with control constraints is characterized using Lyapunov exponents. It is given by the cone over the region of attraction of the maximal control set in projective space containing zero in its spectral interval.
@article{bwmeta1.element.bwnjournal-article-bcpv32z1p139bwm,
author = {Colonius, Fritz and Kliemann, Wolfgang},
title = {Asymptotic null controllability of bilinear systems},
journal = {Banach Center Publications},
volume = {31},
year = {1995},
pages = {139-148},
zbl = {0837.93050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p139bwm}
}
Colonius, Fritz; Kliemann, Wolfgang. Asymptotic null controllability of bilinear systems. Banach Center Publications, Tome 31 (1995) pp. 139-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p139bwm/
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