This article is cited in 1 paper

Evasion from a group of inertial objects in fourth order game

L. S. Chirkova

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

Abstract: We consider the problem of conflict interaction of one evader with a group of pursuers with equal dynamic capabilities of all players. The motion of each player is defined by fourth order differential equation. The initial conditions are given at the initial time. We prove that if zero does not belong to convex hull spanned by the vectors of the initial conditions, then evasion from capture is possible.

Keywords: differential games, group pursuit, state constraints, evasion from capture.

UDC: 517.934

MSC: 49N75, 91A23, 49N70, 91A06

Received: 01.08.2013

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