Page 75 - programme book

OR-010
Optimal Number of Pursuers in the Differential Game on the 1-skeleton of
4D Cube

Gafurjan Ibragimov 1, a) , Azamat Holboev 2, b) , Tolanboy Ibaydullaev 3, c) , and Idham Arif
Alias 1, d)

1 Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
2 Department of Mathematics, Andijan State University, 170100, Andijan, Uzbekistan
3 Institute of Mathematics, 100170, Tashkent, Uzbekistan.

a) Corresponding author: ibragimov@upm.edu.my
b) azamatholboyev@gmail.com
c) ibaydullayev73@mail.ru
d) idham_aa@upm.edu.my

Abstract. A differential game of several pursuers and one evader is studied. All the players move only
along the edges of a 4-dimensional cube. The maximal speed of evader is 1 and that of each pursuer is
less than 1 and greater or equal to 1/3. If the state of a pursuer coincides with the state of the evader,
then pursuit is completed. The optimal number of pursuers to complete the game is found. Also,
strategies for pursuers and evader are constructed.

Keywords: Differential game, many pursuers, edge graph, strategy, pursuer, evader.

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