Geodesic
On sliding modes of differential inclusions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 4, pp. 54-65 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider motion of the systems with multivalued right-hand side on the set $S$ on the compact time interval $I$. Estimation for attainability set of sliding modes was made. We received sufficient conditions for existence of sliding mode of discontinuous systems presented as differential inclusions.
Keywords: differential inclusion; sliding mode; one side Lipschitz conditions; Iosida approximation; attainability set. 
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D. V. Ponomariov. On sliding modes of differential inclusions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 4, pp. 54-65. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_4_a5/

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