Loading [MathJax]/jax/output/SVG/config.js
Trudy Instituta Matematiki i Mekhaniki UrO RAN
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



Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find






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


Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 251–261 (Mi timm441)  

On solving a pursuit game problem with fixed termination time

V. N. Ushakova, D. K. Mikhalevb, I. V. Baidosova

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b "Yandex" Ltd.
References:
Abstract: A pursuit game problem for the first player with fixed termination time is considered. An approximate method is suggested for constructing the positional absorption set, which is the solvability set for the pursuit problem. Recurrence relations are written that define a system of sets approximating the positional absorption set in the phase space of the conflict-controlled system. A resolving control procedure with a guide is described, which copies the controls.
Keywords: game problem, control, differential game, differential inclusion, guide.
Received: 26.05.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S285–S296
DOI: https://doi.org/10.1134/S0081543810060234
Bibliographic databases:
Document Type: Article
UDC: 517.977.8
Language: Russian
Citation: V. N. Ushakov, D. K. Mikhalev, I. V. Baidosov, “On solving a pursuit game problem with fixed termination time”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 251–261; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S285–S296
Citation in format AMSBIB
\Bibitem{UshMikBai09}
\by V.~N.~Ushakov, D.~K.~Mikhalev, I.~V.~Baidosov
\paper On solving a~pursuit game problem with fixed termination time
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 251--261
\mathnet{http://mi.mathnet.ru/timm441}
\elib{https://elibrary.ru/item.asp?id=12952770}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S285--S296
\crossref{https://doi.org/10.1134/S0081543810060234}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962422561}
Linking options:
  • https://www.mathnet.ru/eng/timm441
  • https://www.mathnet.ru/eng/timm/v15/i4/p251
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:433
    Full-text PDF :118
    References:84
    First page:3
     
      Contact us:
    math-net2025_05@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025