The property of forward invariance of a subset of with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.
@article{bwmeta1.element.bwnjournal-article-bcpv32z1p287bwm,
author = {Krastanov, Mikhail},
title = {Forward invariant sets, homogeneity and small-time local controllability},
journal = {Banach Center Publications},
volume = {31},
year = {1995},
pages = {287-300},
zbl = {0839.93010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p287bwm}
}
Krastanov, Mikhail. Forward invariant sets, homogeneity and small-time local controllability. Banach Center Publications, Tome 31 (1995) pp. 287-300. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p287bwm/
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