Geodesic
Evasion of the meeting in a~cone in third order differential game
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 3, pp. 93-104

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MGTA_2014_6_3_a4,
     author = {Lyubov S. Chirkova},
     title = {Evasion of the meeting in a~cone in third order differential game},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {93--104},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2014_6_3_a4/}
}
TY  - JOUR
AU  - Lyubov S. Chirkova
TI  - Evasion of the meeting in a~cone in third order differential game
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2014
SP  - 93
EP  - 104
VL  - 6
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2014_6_3_a4/
LA  - ru
ID  - MGTA_2014_6_3_a4
ER  - 
%0 Journal Article
%A Lyubov S. Chirkova
%T Evasion of the meeting in a~cone in third order differential game
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2014
%P 93-104
%V 6
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2014_6_3_a4/
%G ru
%F MGTA_2014_6_3_a4
Lyubov S. Chirkova. Evasion of the meeting in a~cone in third order differential game. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 3, pp. 93-104. http://geodesic.mathdoc.fr/item/MGTA_2014_6_3_a4/