Geodesic
Multi-pursuer pursuit differential game for an infinite system of second order differential equations
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 34 (2024) no. 1, pp. 48-64

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

We study a pursuit differential game of many pursuers and one evader. The game is described by the infinite systems of $m$ inertial equations. By definition, pursuit in the game is completed if the state and its derivative of one of the systems are equal to zero at some time. In the literature, such a condition of completion of pursuit is also called soft landing. We obtain a condition in terms of energies of players which is sufficient for completion of pursuit in the game. The pursuit strategies are also constructed.
Keywords: differential game, control, strategy, many pursuers, infinite system of differential equations, integral constraint 
@article{VUU_2024_34_1_a3,
     author = {R. Yu. Kazimirova and G. I. Ibragimov and R. M. Hasim},
     title = {Multi-pursuer pursuit differential game for an infinite system of second order differential equations},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {48--64},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VUU_2024_34_1_a3/}
}
TY  - JOUR
AU  - R. Yu. Kazimirova
AU  - G. I. Ibragimov
AU  - R. M. Hasim
TI  - Multi-pursuer pursuit differential game for an infinite system of second order differential equations
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2024
SP  - 48
EP  - 64
VL  - 34
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2024_34_1_a3/
LA  - en
ID  - VUU_2024_34_1_a3
ER  - 
%0 Journal Article
%A R. Yu. Kazimirova
%A G. I. Ibragimov
%A R. M. Hasim
%T Multi-pursuer pursuit differential game for an infinite system of second order differential equations
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2024
%P 48-64
%V 34
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2024_34_1_a3/
%G en
%F VUU_2024_34_1_a3
R. Yu. Kazimirova; G. I. Ibragimov; R. M. Hasim. Multi-pursuer pursuit differential game for an infinite system of second order differential equations. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 34 (2024) no. 1, pp. 48-64. http://geodesic.mathdoc.fr/item/VUU_2024_34_1_a3/