On Estimating the Degree of Nonconvexity of Reachable Sets of Control Systems-Reference-Cited by-同舟云学术

On Estimating the Degree of Nonconvexity of Reachable Sets of Control Systems

Published:2021-12 Issue:1 Volume:315 Page:247-256
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Ushakov V. N.,Ershov A. A.,Matviychuk A. R.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1134/S0081543821050199.pdf

Reference15 articles.

1. V. G. Boltyanskii and V. L. Dol’nikov, “Jung’s theorem and $$H$$-convexity,” Dokl. Math. 71 (2), 245–249 (2005) [transl. from Dokl. Akad. Nauk 401 (5), 587–591 (2005)].

2. A. A. Ershov and M. V. Pershakov, “On the relation between alpha-sets and other generalizations,” in Proc. VI Inf. Young Scientist School (Ural. Otd. Ross. Akad. Nauk, Yekaterinburg, 2018), pp. 143–150 [in Russian].

3. A. L. Garkavi, “On the Chebyshev center and convex hull of a set,” Usp. Mat. Nauk 19 (6), 139–145 (1964).

4. P. M. Gruber and C. G. Lekkerkerker, Geometry of Numbers (North-Holland, Amsterdam, 1987).

5. G. E. Ivanov, Weakly Convex Sets and Functions: Theory and Applications (Fizmatlit, Moscow, 2006) [in Russian].

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