Geodesic
On a simple pursuit problem on time scales of two coordinated evaders
Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 3, pp. 277-286

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

In the finite-dimensional Euclidean space, the problem of simple pursuit of two evaders by a group of pursuers is considered, described by equations on a given time scale. It is assumed that all evaders use the same control. The pursuers use counterstrategies based on information about the initial positions and the control history of the evaders. The set of admissible controls is a unit ball centered at zero, target sets are the origin. The goal of the pursuers' group is to capture at least one evader by two pursuers or to capture two evaders. In terms of initial positions and game parameters a sufficient condition for the capture is obtained. In the study, the method of resolving functions is used as a basic one, which allows obtaining sufficient conditions for the solvability of the approach problem in some guaranteed time.
Keywords: differential game, group pursuit, evader, pursuer, time scale. 
@article{CHFMJ_2022_7_3_a1,
     author = {N. N. Petrov and E. S. Mozhegova},
     title = {On a simple pursuit problem on time scales of two coordinated evaders},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {277--286},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_3_a1/}
}
TY  - JOUR
AU  - N. N. Petrov
AU  - E. S. Mozhegova
TI  - On a simple pursuit problem on time scales of two coordinated evaders
JO  - Čelâbinskij fiziko-matematičeskij žurnal
PY  - 2022
SP  - 277
EP  - 286
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_3_a1/
LA  - ru
ID  - CHFMJ_2022_7_3_a1
ER  - 
%0 Journal Article
%A N. N. Petrov
%A E. S. Mozhegova
%T On a simple pursuit problem on time scales of two coordinated evaders
%J Čelâbinskij fiziko-matematičeskij žurnal
%D 2022
%P 277-286
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_3_a1/
%G ru
%F CHFMJ_2022_7_3_a1
N. N. Petrov; E. S. Mozhegova. On a simple pursuit problem on time scales of two coordinated evaders. Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 3, pp. 277-286. http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_3_a1/