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Ural Mathematical Journal, 2016, Volume 2, Issue 1, Pages 38–47
DOI: https://doi.org/10.15826/umj.2016.1.004
(Mi umj13)
 

This article is cited in 4 scientific papers (total in 4 papers)

On calculating the value of a differential game in the class of counter strategies

Mikhail I. Gomoyunova, Dmitry V. Kornevab

a Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Institute of Mathematics and Computer Sciences, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (198 kB) Citations (4)
References:
Abstract: For a linear dynamical system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of a set of deviations of the system's motion from given targets at given instants of time is optimized. The problem is formalized into a differential game in “strategy-counter strategy” classes. A game value computing procedure which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions is justified. Results of numerical simulations are presented.
Keywords: Differential games, Value of the game, Saddle point, Counter strategies.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-16-1-13
This work was supported by Complex Program of Fundamental Research UrO RAN (project 15-16-1-13).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Mikhail I. Gomoyunov, Dmitry V. Kornev, “On calculating the value of a differential game in the class of counter strategies”, Ural Math. J., 2:1 (2016), 38–47
Citation in format AMSBIB
\Bibitem{GomKor16}
\by Mikhail~I.~Gomoyunov, Dmitry~V.~Kornev
\paper On calculating the value of a differential game in the class of counter strategies
\jour Ural Math. J.
\yr 2016
\vol 2
\issue 1
\pages 38--47
\mathnet{http://mi.mathnet.ru/umj13}
\crossref{https://doi.org/10.15826/umj.2016.1.004}
\zmath{https://zbmath.org/?q=an:1398.91087}
\elib{https://elibrary.ru/item.asp?id=26501481}
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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