Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (217 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{UshErs21}
\by V.~N.~Ushakov, A.~A.~Ershov
\paper Reachable sets and integral funnels of differential inclusions depending on a parameter
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 499
\pages 49--53
\mathnet{http://mi.mathnet.ru/danma189}
\crossref{https://doi.org/10.31857/S2686954321040159}
\zmath{https://zbmath.org/?q=an:7427866}
\elib{https://elibrary.ru/item.asp?id=46532754}
\transl
\jour Dokl. Math.
\yr 2021
\vol 104
\issue 1
\pages 200--204
\crossref{https://doi.org/10.1134/S1064562421040153}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118727387}
Linking options:
  • https://www.mathnet.ru/eng/danma189
  • https://www.mathnet.ru/eng/danma/v499/p49
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:123
    Full-text PDF :36
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024