Geodesic
Upper and lower resolving functions in dynamic game problems
Trudy Instituta matematiki i mehaniki, Tome 23 (2017) no. 1, pp. 293-305

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

The paper deals with game problems on the approach of trajectories of a nonstationary quasilinear system to a variable cylindrical terminal set. The case is studied when Pontryagin's classical condition fails. The notions of upper and lower resolving functions are introduced in the form of selections of special set-valued mappings. These functions are used to derive sufficient solvability conditions, which differ from the known ones. The results are illustrated with a model example.
Keywords: conflict-controlled process, set-valued mapping, Pontryagin's condition, Aumann's integral, resolving function. 
@article{TIMM_2017_23_1_a27,
     author = {A. A. Chikrii},
     title = {Upper and lower resolving functions in dynamic game problems},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {293--305},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2017_23_1_a27/}
}
TY  - JOUR
AU  - A. A. Chikrii
TI  - Upper and lower resolving functions in dynamic game problems
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2017
SP  - 293
EP  - 305
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2017_23_1_a27/
LA  - ru
ID  - TIMM_2017_23_1_a27
ER  - 
%0 Journal Article
%A A. A. Chikrii
%T Upper and lower resolving functions in dynamic game problems
%J Trudy Instituta matematiki i mehaniki
%D 2017
%P 293-305
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2017_23_1_a27/
%G ru
%F TIMM_2017_23_1_a27
A. A. Chikrii. Upper and lower resolving functions in dynamic game problems. Trudy Instituta matematiki i mehaniki, Tome 23 (2017) no. 1, pp. 293-305. http://geodesic.mathdoc.fr/item/TIMM_2017_23_1_a27/