Geodesic
On game problems of control of pensile of trajectories under integral constraints on the controls of the players
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2023), pp. 41-55

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

In this paper, we study the game problems of controlling bundles of trajectories described by a system of equations with a retarded argument under integral restrictions on the players' controls. Modifications of the first and third pursuit methods are proposed for game problems of controlling trajectory bundles. For this game, sufficient conditions are obtained for the possibility of transferring a pencil of trajectories.
Keywords: control, game problem, pursuer, evader, integral constraints, initial and terminal set, trajectory bundle. 
@article{IVM_2023_6_a3,
     author = {N. A. Mamadaliev and T. T. Ibaydullayev and G. M. Abdualimova},
     title = {On game problems of control of pensile of trajectories under integral constraints on the controls of the players},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {41--55},
     publisher = {mathdoc},
     number = {6},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_6_a3/}
}
TY  - JOUR
AU  - N. A. Mamadaliev
AU  - T. T. Ibaydullayev
AU  - G. M. Abdualimova
TI  - On game problems of control of pensile of trajectories under integral constraints on the controls of the players
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 41
EP  - 55
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_6_a3/
LA  - ru
ID  - IVM_2023_6_a3
ER  - 
%0 Journal Article
%A N. A. Mamadaliev
%A T. T. Ibaydullayev
%A G. M. Abdualimova
%T On game problems of control of pensile of trajectories under integral constraints on the controls of the players
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 41-55
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_6_a3/
%G ru
%F IVM_2023_6_a3
N. A. Mamadaliev; T. T. Ibaydullayev; G. M. Abdualimova. On game problems of control of pensile of trajectories under integral constraints on the controls of the players. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2023), pp. 41-55. http://geodesic.mathdoc.fr/item/IVM_2023_6_a3/