Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Sbornik: Mathematics, 2001, Volume 192, Issue 10, Pages 1515–1542
DOI: https://doi.org/10.1070/SM2001v192n10ABEH000604
(Mi sm604)
 

This article is cited in 35 scientific papers (total in 36 papers)

An algorithm for the numerical solution of linear differential games

E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev

Moscow Institute of Physics and Technology
References:
Abstract: A numerical algorithm for the construction of stable Krasovskii bridges, Pontryagin alternating sets, and also of piecewise program strategies solving two-person linear differential (pursuit or evasion) games on a fixed time interval is developed on the basis of a general theory. The aim of the first player (the pursuer) is to hit a prescribed target (terminal) set by the phase vector of the control system at the prescribed time. The aim of the second player (the evader) is the opposite. A description of numerical algorithms used in the solution of differential games of the type under consideration is presented and estimates of the errors resulting from the approximation of the game sets by polyhedra are presented.
Received: 19.01.2001
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 10, Pages 95–122
DOI: https://doi.org/10.4213/sm604
Bibliographic databases:
UDC: 517.977.8
MSC: Primary 49N75, 90C05, 93C15; Secondary 93C55
Language: English
Original paper language: Russian
Citation: E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev, “An algorithm for the numerical solution of linear differential games”, Mat. Sb., 192:10 (2001), 95–122; Sb. Math., 192:10 (2001), 1515–1542
Citation in format AMSBIB
\Bibitem{PolIvaBal01}
\by E.~S.~Polovinkin, G.~E.~Ivanov, M.~V.~Balashov, R.~V.~Konstantinov, A.~V.~Khorev
\paper An algorithm for the~numerical solution of linear differential games
\jour Mat. Sb.
\yr 2001
\vol 192
\issue 10
\pages 95--122
\mathnet{http://mi.mathnet.ru/sm604}
\crossref{https://doi.org/10.4213/sm604}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1867019}
\zmath{https://zbmath.org/?q=an:1128.91305}
\transl
\jour Sb. Math.
\yr 2001
\vol 192
\issue 10
\pages 1515--1542
\crossref{https://doi.org/10.1070/SM2001v192n10ABEH000604}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173373400013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035528292}
Linking options:
  • https://www.mathnet.ru/eng/sm604
  • https://doi.org/10.1070/SM2001v192n10ABEH000604
  • https://www.mathnet.ru/eng/sm/v192/i10/p95
  • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1229
    Russian version PDF:425
    English version PDF:26
    References:81
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024