Geodesic
Evasion from a group of inertial objects in fourth order game
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 42 (2013) no. 2, pp. 58-101

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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. 
@article{IIMI_2013_42_2_a1,
     author = {L. S. Chirkova},
     title = {Evasion from a group of inertial objects in fourth order game},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {58--101},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2013_42_2_a1/}
}
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L. S. Chirkova. Evasion from a group of inertial objects in fourth order game. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 42 (2013) no. 2, pp. 58-101. http://geodesic.mathdoc.fr/item/IIMI_2013_42_2_a1/