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Mat. Teor. Igr Pril., 2014, Volume 6, Issue 3, Pages 93–104 (Mi mgta141)  

Evasion of the meeting in a cone in third order differential game

Lyubov S. Chirkova

Faculty of Mathematics, Udmurt State University, Izhevsk

Abstract: It is considered a problem of conflict interaction of one evader from a group of pursuers with equal dynamic capabilities of all players. The motion of each player is defined by third order differential equation. Initial conditions are set. It is proved that if number of pursuers is less than space dimension and the initial position, velocity and acceleration of the evader are inside of the given cone, then runaway occurs.

Keywords: differential game, evasion from many pursuers in a cone, state constraints.

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Citation: Lyubov S. Chirkova, “Evasion of the meeting in a cone in third order differential game”, Mat. Teor. Igr Pril., 6:3 (2014), 93–104

Citation in format AMSBIB
\Bibitem{Chi14}
\by Lyubov~S.~Chirkova
\paper Evasion of the meeting in a~cone in third order differential game
\jour Mat. Teor. Igr Pril.
\yr 2014
\vol 6
\issue 3
\pages 93--104
\mathnet{http://mi.mathnet.ru/mgta141}


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