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


Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2017, Volume 27, Issue 3, Pages 309–314 (Mi vuu590)  

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints

A. S. Bannikov

Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia

Abstract: The paper deals with the problem of avoiding a group of pursuers in the finite-dimensional Euclidean space. The motion is described by the linear system of fractional order
\begin{gather*} ( ^C D^{\alpha}_{0+}z_i)=A z_i+u_i-v, \end{gather*}
where $ ^C D^{\alpha}_{0+}f$ is the Caputo derivative of order $\alpha\in(0,1)$ of the function $f$ and $A$ is a simple matrix. The initial positions are given at the initial time. The set of admissible controls of all players is a convex compact. It is further assumed that the evader does not leave the convex polyhedron with nonempty interior. In terms of the initial positions and the parameters of the game, sufficient conditions for the solvability of the evasion problem are obtained.

Keywords: differential games, Caputo derivative, escape, simple matrix.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-000346_а


DOI: https://doi.org/10.20537/vm170302

Full text: PDF file (205 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 517.977.8, 519.837.4
MSC: 49N70, 91A23
Received: 14.08.2017

Citation: A. S. Bannikov, “Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017), 309–314

Citation in format AMSBIB
\Bibitem{Ban17}
\by A.~S.~Bannikov
\paper Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2017
\vol 27
\issue 3
\pages 309--314
\mathnet{http://mi.mathnet.ru/vuu590}
\crossref{https://doi.org/10.20537/vm170302}
\elib{http://elibrary.ru/item.asp?id=30267242}


Linking options:
  • http://mi.mathnet.ru/eng/vuu590
  • http://mi.mathnet.ru/eng/vuu/v27/i3/p309

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. I. Gomoyunov, “Ekstremalnyi sdvig na soputstvuyuschie tochki v pozitsionnoi differentsialnoi igre dlya sistemy drobnogo poryadka”, Tr. IMM UrO RAN, 25, no. 1, 2019, 11–34  mathnet  crossref  elib
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
    Number of views:
    This page:150
    Full text:48
    References:26

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019