Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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



Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2014, Issue 4, Pages 3–17 (Mi vuu447)  

MATHEMATICS

Weak evasion of a group of rigidly coordinated evaders in the nonlinear problem of group pursuit

A. I. Blagodatskikh

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
References:
Abstract: A natural generalization of differential two-person games is conflict controlled processes with a group of controlled objects (from at least one of the conflicting sides). The problems of conflict interaction between two groups of controlled objects are the most difficult-to-research. The specificity of these problems requires new methods to study them. This paper deals with the nonlinear problem of pursuing a group of rigidly coordinated evaders (i.e. using the same control) by a group of pursuers under the condition that the maneuverability of evaders is higher. The goal of evaders is to ensure weak evasion for the whole group. By weak evasion we mean non-coincidence of geometrical coordinates, speeds, accelerations and so forth for the evader and all pursuers. The position control is constructed for all possible initial positions of the participants; this control guarantees a weak evasion for all evaders.
Keywords: weak evasion, group pursuit, nonlinear differential games, conflict controlled processes.
Received: 01.10.2014
Document Type: Article
UDC: 517.977.8+519.837.4
MSC: 49N70, 49N75
Language: Russian
Citation: A. I. Blagodatskikh, “Weak evasion of a group of rigidly coordinated evaders in the nonlinear problem of group pursuit”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4, 3–17
Citation in format AMSBIB
\Bibitem{Bla14}
\by A.~I.~Blagodatskikh
\paper Weak evasion of a~group of rigidly coordinated evaders in the nonlinear problem of group pursuit
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2014
\issue 4
\pages 3--17
\mathnet{http://mi.mathnet.ru/vuu447}
Linking options:
  • https://www.mathnet.ru/eng/vuu447
  • https://www.mathnet.ru/eng/vuu/y2014/i4/p3
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024