Contributions to Game Theory and Management
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Contributions to Game Theory and Management:
Year:
Volume:
Issue:
Page:
Find






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


Contributions to Game Theory and Management, 2012, Volume 5, Pages 83–96 (Mi cgtm149)  

Differential Game Model with Two Pursuers and One Evader

Sergey A. Ganebnya, Sergey S. Kumkova, Stéphane Le Ménecb, Valerii S. Patskoa

a Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, S. Kovalevskaya str., 16, Ekaterinburg, 620990, Russia
b EADS/MBDA France, 1 avenue Réaumur, 92358 Le Plessis-Robinson Cedex, France
References:
Abstract: An antagonistic differential game is considered where motion occurs in a straight line. Deviations between the first and second pursuers and the evader are computed at the instants $T_1$ and $T_2$, respectively. The pursuers act in coordination. Their aim is to minimize the resultant miss, which is equal to the minimum of the deviations happened at the instants $T_1$ and $T_2$. Numerical study of value function level sets (Lebesgue sets) for qualitatively different cases is given.
Keywords: pursuit-evasion differential game, linear dynamics, value function.
Document Type: Article
Language: English
Citation: Sergey A. Ganebny, Sergey S. Kumkov, Stéphane Le Ménec, Valerii S. Patsko, “Differential Game Model with Two Pursuers and One Evader”, Contributions to Game Theory and Management, 5 (2012), 83–96
Citation in format AMSBIB
\Bibitem{GanKumLe 12}
\by Sergey~A.~Ganebny, Sergey~S.~Kumkov, St\'ephane~Le M\'enec, Valerii~S.~Patsko
\paper Differential Game Model with Two Pursuers and One Evader
\jour Contributions to Game Theory and Management
\yr 2012
\vol 5
\pages 83--96
\mathnet{http://mi.mathnet.ru/cgtm149}
Linking options:
  • https://www.mathnet.ru/eng/cgtm149
  • https://www.mathnet.ru/eng/cgtm/v5/p83
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025