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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 499, Pages 49–53
DOI: https://doi.org/10.31857/S2686954321040159 (Mi danma189) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Reachable sets and integral funnels of differential inclusions depending on a parameter

V. N. Ushakov, A. A. Ershov

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
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DOI: https://doi.org/10.31857/S2686954321040159
Abstract: A parameter-dependent control system is considered in Euclidean space $\mathbb{R}^n$. The dependence, on the parameter, of the reachable sets and integral funnels of the differential inclusion corresponding to the system is investigated. Estimates are obtained that characterize this dependence.
Keywords: control system, differential inclusion, reachable set, integral funnel, Hausdorff distance, approximation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-02-2021-1383
This work was performed within the research conducted at the Ural Mathematical Center and was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2021-1383).
Received: 16.04.2021
Revised: 11.05.2021
Accepted: 13.05.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 200–204
DOI: https://doi.org/10.1134/S1064562421040153
Bibliographic databases:
Document Type: Article
UDC: 517.977.58
Language: Russian
Citation: V. N. Ushakov, A. A. Ershov, “Reachable sets and integral funnels of differential inclusions depending on a parameter”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 49–53; Dokl. Math., 104:1 (2021), 200–204
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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