Loading [MathJax]/jax/output/SVG/config.js
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, 2024, Volume 519, Pages 65–71
DOI: https://doi.org/10.31857/S2686954324050124 (Mi danma567) 		 
MATHEMATICS

Concerning one supplement to unification method of N.N. Krasovskii in differential games theory

V. N. Ushakov, A. M. Tarasyev, A. A. Ershov

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
DOI: https://doi.org/10.31857/S2686954324050124
Abstract: The paper deals with the game problem of approach for a conflict-controlled system in a finite-dimensional Euclidean space at a fixed moment of time. The problem of approximate calculation of the solvability sets is studied for the considered approach game. An approach is proposed for approximate calculation of solvability sets on the basis of a unification model, which supplements the unification method of N.N. Krasovskii in the theory of differential games.
Keywords: control, conflict-controlled system, game problem of approach, solvability set, minimax $u$-stable bridge, minimax $u$-stable path, target set, differential inclusion.
Funding agency Grant number
Russian Science Foundation 24-11-00217
A.M. Tarasyev and A.A. Ershov acknowledge the support of the Russian Science Foundation, project no. 24-11-00217, https://rscf.ru/en/project/24-11-00217/.
Received: 14.07.2024
Revised: 05.08.2024
Accepted: 12.08.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 2, Pages 386–392
DOI: https://doi.org/10.1134/S1064562424601604
Bibliographic databases:
Document Type: Article
UDC: 517.977.8
Language: Russian
Citation: V. N. Ushakov, A. M. Tarasyev, A. A. Ershov, “Concerning one supplement to unification method of N.N. Krasovskii in differential games theory”, Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024), 65–71; Dokl. Math., 110:2 (2024), 386–392
Citation in format AMSBIB
\Bibitem{UshTarErs24}
\by V.~N.~Ushakov, A.~M.~Tarasyev, A.~A.~Ershov
\paper Concerning one supplement to unification method of N.N. Krasovskii in differential games theory
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 519
\pages 65--71
\mathnet{http://mi.mathnet.ru/danma567}
\crossref{https://doi.org/10.31857/S2686954324050124}
\elib{https://elibrary.ru/item.asp?id=75994118}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 2
\pages 386--392
\crossref{https://doi.org/10.1134/S1064562424601604}
Linking options:
  • https://www.mathnet.ru/eng/danma567
  • https://www.mathnet.ru/eng/danma/v519/p65
    • 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:46
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025