Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 146–166 (Mi timm433)  
This article is cited in 8 scientific papers (total in 9 papers)

An approach-evasion differential game: Stochastic guide

N. N. Krasovskii, A. N. Kotel'nikova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (299 kB) Citations (9)
References:
PDF
HTML
Abstract: A positional differential game of the approach-evasion of a conflict-controlled motion and a goal set within a given set is considered. Use is made of a solution of the associated boundary-value problem for a parabolic equation degenerating as the diffusion term vanishes to a Hamilton–Jacobi type equation, which is typical for techniques in the theory of differential games. Based on this, a control scheme with a stochastic guide is developed.
Keywords: approach-evasion alternative, strategy, probabilistic process, Ito equation, Lyapunov function.
Received: 15.05.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S191–S213
DOI: https://doi.org/10.1134/S0081543810060167
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: N. N. Krasovskii, A. N. Kotel'nikova, “An approach-evasion differential game: Stochastic guide”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 146–166; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S191–S213
Citation in format AMSBIB
\Bibitem{KraKot09}
\by N.~N.~Krasovskii, A.~N.~Kotel'nikova
\paper An approach-evasion differential game: Stochastic guide
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 146--166
\mathnet{http://mi.mathnet.ru/timm433}
\elib{https://elibrary.ru/item.asp?id=12952762}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S191--S213
\crossref{https://doi.org/10.1134/S0081543810060167}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962360309}
Linking options:
  • https://www.mathnet.ru/eng/timm433
  • https://www.mathnet.ru/eng/timm/v15/i4/p146
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:647
    Full-text PDF :234
    References:78
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024