We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.
@article{bwmeta1.element.bwnjournal-article-bcpv32z1p341bwm,
author = {Quincampoix, Marc},
title = {Singular perturbations for systems of differential inclusions},
journal = {Banach Center Publications},
volume = {31},
year = {1995},
pages = {341-348},
zbl = {0836.34017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p341bwm}
}
Quincampoix, Marc. Singular perturbations for systems of differential inclusions. Banach Center Publications, Tome 31 (1995) pp. 341-348. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p341bwm/
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