Geodesic
On the differential game of interception
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 113-126

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

The article discusses the formalization of the differential game, proposed in Sverdlovsk-Ekaterinburg: strategy classes, generalized motion, value, and the saddle point of the game. On the basis of unification of the game can be traced out to a generalized minimax Hamilton–Jacobi equations. On the basis of a degenerate parabolic equations are constructed minimax and maximin control scheme with stochastic leader.
Keywords: unification of the game, Hamilton–Jacobi equation, the degeneracy of the parabolic equation, stochastic leader. 
@article{TIMM_2010_16_5_a13,
     author = {N. N. Krasovskii and A. N. Kotel'nikova},
     title = {On the differential game of interception},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {113--126},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a13/}
}
TY  - JOUR
AU  - N. N. Krasovskii
AU  - A. N. Kotel'nikova
TI  - On the differential game of interception
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2010
SP  - 113
EP  - 126
VL  - 16
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a13/
LA  - ru
ID  - TIMM_2010_16_5_a13
ER  - 
%0 Journal Article
%A N. N. Krasovskii
%A A. N. Kotel'nikova
%T On the differential game of interception
%J Trudy Instituta matematiki i mehaniki
%D 2010
%P 113-126
%V 16
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a13/
%G ru
%F TIMM_2010_16_5_a13
N. N. Krasovskii; A. N. Kotel'nikova. On the differential game of interception. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 113-126. http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a13/