Geodesic
A two-fold capture of coordinated evaders in the problem of a simple pursuit on time scales
Ural mathematical journal, Tome 10 (2024) no. 1, pp. 112-122

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

In finite-dimensional Euclidean space, we study the problem of a simple pursuit of two evaders by a group of pursuers in a given time scale. It is assumed that the evaders use the same control and do not move out of a convex polyhedral set. The pursuers use counterstrategies based on information on the initial positions and on the prehistory of the control of evaders. The set of admissible controls of each of the participants is a sphere of unit radius with its center at the origin, and the goal sets are the origin. The goal of the group of pursuers is the capture of at least one evader by two pursuers. In terms of the initial positions and parameters of the game, a sufficient condition for capture is obtained. The study is based on the method of resolving functions, which makes it possible to obtain sufficient conditions for solvability of the pursuit problem in some guaranteed time.
Keywords: Differential game, Group pursuit, Evader, Pursuer
Mots-clés : Time scale 
@article{UMJ_2024_10_1_a9,
     author = {Elena S. Mozhegova and Nikolai N. Petrov},
     title = {A two-fold capture of coordinated evaders in the problem of a simple pursuit on time scales},
     journal = {Ural mathematical journal},
     pages = {112--122},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2024_10_1_a9/}
}
TY  - JOUR
AU  - Elena S. Mozhegova
AU  - Nikolai N. Petrov
TI  - A two-fold capture of coordinated evaders in the problem of a simple pursuit on time scales
JO  - Ural mathematical journal
PY  - 2024
SP  - 112
EP  - 122
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UMJ_2024_10_1_a9/
LA  - en
ID  - UMJ_2024_10_1_a9
ER  - 
%0 Journal Article
%A Elena S. Mozhegova
%A Nikolai N. Petrov
%T A two-fold capture of coordinated evaders in the problem of a simple pursuit on time scales
%J Ural mathematical journal
%D 2024
%P 112-122
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UMJ_2024_10_1_a9/
%G en
%F UMJ_2024_10_1_a9
Elena S. Mozhegova; Nikolai N. Petrov. A two-fold capture of coordinated evaders in the problem of a simple pursuit on time scales. Ural mathematical journal, Tome 10 (2024) no. 1, pp. 112-122. http://geodesic.mathdoc.fr/item/UMJ_2024_10_1_a9/