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, 2023, Volume 33, Issue 1, Pages 103–118
DOI: https://doi.org/10.35634/vm230107 (Mi vuu838) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

The method of resolving functions for solving a pursuit problem with integral constraints on player controls

N. A. Mamadalievab, Kh. Ya. Mustapokulovbc, G. M. Abdualimovad

a Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan, ul. Universitetskaya, 9, Tashkent, 100174, Uzbekistan
b National University of Uzbekistan named after Mirzo Ulugbek, ul. Universitetskaya, 4, Tashkent, 100174, Uzbekistan
c Tashkent State Technical University named after I. Karimov, ul. Universitetskaya, 4, Tashkent, 100174, Uzbekistan
d Andijan State University, ul. Universitskaya, 129, Andijan, 170100, Uzbekistan
Full-text PDF (190 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.35634/vm230107
Abstract: In this paper, we study pursuit game problems described by a system of equations with a retarded argument under integral constraints on the players' controls. The proposed scheme uses the ideas of the method of resolving functions. Modifications of methods (i.e., the first and so-called third methods) [1,3,12] of pursuit are proposed in the case when integral constraints are imposed on the players' controls. Sufficient conditions are obtained for the possibility of completing the pursuit in a finite time.
Keywords: differential game, pursuit game, integral constraint, resolving function, conflict-controlled process, multivalued mapping, control, pursuer, evader.
Received: 12.09.2022
Accepted: 13.02.2023
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 35F46, 35K51, 35R12, 49N25, 93C20
Language: Russian
Citation: N. A. Mamadaliev, Kh. Ya. Mustapokulov, G. M. Abdualimova, “The method of resolving functions for solving a pursuit problem with integral constraints on player controls”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:1 (2023), 103–118
Citation in format AMSBIB
\Bibitem{MamMusAbd23}
\by N.~A.~Mamadaliev, Kh.~Ya.~Mustapokulov, G.~M.~Abdualimova
\paper The method of resolving functions for solving a pursuit problem with integral constraints on player controls
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2023
\vol 33
\issue 1
\pages 103--118
\mathnet{http://mi.mathnet.ru/vuu838}
\crossref{https://doi.org/10.35634/vm230107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4573571}
Linking options:
  • https://www.mathnet.ru/eng/vuu838
  • https://www.mathnet.ru/eng/vuu/v33/i1/p103
    • 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
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
    Statistics & downloads:
    Abstract page:126
    Full-text PDF :31
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024