Matematicheskaya Teoriya Igr i Ee Prilozheniya
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


Mat. Teor. Igr Pril.:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2020, Volume 12, Issue 4, Pages 7–23 (Mi mgta267)  
This article is cited in 2 scientific papers (total in 2 papers)

A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes. I

Abdulla A. Azamova, Tolanbay T. Ibaydullayevb

a Institute of Mathematics named after V.I. Romanovskii
b Andijan State University
Full-text PDF (427 kB) Citations (2)
References:
PDF
HTML
Abstract: We consider the differential game between several pursuing points and one evading point moving along the graph of edges of a simplex when maximal quantities of velocities are given. The normalization of the game in the sense of J. von Neumann including the description of classes of admissible strategies is exposed. In the present part of the paper the qualitative problem for the full graph of three dimensional simplex is solved using the strategy of parallel pursuit for a slower pursuer and some numerical coefficient of a simplex characterizing its proximity to the regular one. Next part will be devoted to higher dimensional cases.
Keywords: differential game, game on a graph, pursuit problem, evasion problem, �-strategy, coefficient of regularity of a simplex, full graph.
Funding agency Grant number
Ministry of Innovative Development of the Republic of Uzbekistan ��-�4-84
Received: 05.06.2020
Revised: 01.08.2020
Accepted: 05.12.2020
Document Type: Article
UDC: 517.97
BBC: 22.18
Language: Russian
Citation: Abdulla A. Azamov, Tolanbay T. Ibaydullayev, “A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes. I”, Mat. Teor. Igr Pril., 12:4 (2020), 7–23
Citation in format AMSBIB
\Bibitem{AzaIba20}
\by Abdulla~A.~Azamov, Tolanbay~T.~Ibaydullayev
\paper A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes.~I
\jour Mat. Teor. Igr Pril.
\yr 2020
\vol 12
\issue 4
\pages 7--23
\mathnet{http://mi.mathnet.ru/mgta267}
Linking options:
  • https://www.mathnet.ru/eng/mgta267
  • https://www.mathnet.ru/eng/mgta/v12/i4/p7
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		�������������� ������ ��� � � ����������
    Statistics & downloads:
    Abstract page:183
    Full-text PDF :128
    References:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024