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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 415–425 (Mi mzm7969)  
A nonlinear differential evasion game

N. Yu. Satimov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (765 kB)
Abstract: The evasion problem for nonlinear differential games with a target set which is a linear subspace is considered. A sufficient condition for the possibility of avoidance of contact with all points not belonging to the target set is obtained. Examples are considered. This article borders on the investigations of L. S. Pontryagin, E. F. Mishchenko, and B. N. Pshenichnyi.
Received: 23.09.1975
English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 231–237
DOI: https://doi.org/10.1007/BF01106750
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Yu. Satimov, “A nonlinear differential evasion game”, Mat. Zametki, 21:3 (1977), 415–425; Math. Notes, 21:3 (1977), 231–237
Citation in format AMSBIB
\Bibitem{Sat77}
\by N.~Yu.~Satimov
\paper A~nonlinear differential evasion game
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 3
\pages 415--425
\mathnet{http://mi.mathnet.ru/mzm7969}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=439257}
\zmath{https://zbmath.org/?q=an:0401.90118|0353.90105}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 3
\pages 231--237
\crossref{https://doi.org/10.1007/BF01106750}
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