TY  - JOUR
T1  - Evasion Differential Game with Coordinate-Wise Integral Constraints on
Controls of Players
AU - Salleh, Yusra AU - Arif Alias, Idham AU - Ibragimov, Gafurjan 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 19
SP  - 7132
EP  - 7137
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.7132.7137
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.7132.7137
KW  - Control
KW  -coordinate-wise integral constraints
KW  -differential game
KW  -evasion
KW  -strategy
KW  -maneuvering
AB  - We study an evasion differential game of one evader against one pursuer in the plane R<sup>2</sup> with
coordinate-wise integral constraints on the control functions of players. The game is described by some
differential equations in terms of each coordinate. The evader moves within a small neighborhood of a vertical
0-axis, either by moving vertically or maneuvering. The evader maneuvers to the right, if the pursuer is on its
left side and vice versa. We say that evasion is possible, if the position of the evader does not coincide with
that of the pursuer at all times. We obtain a sufficient condition of evasion and construct an explicit strategy
for the evader to ensure evasion. The strategies depend on the initial positions of players and a defined
approached distance between the pursuer and the evader. Each strategy is shown to be admissible by using
the fact that the integral constraints are coordinate-wise. By these strategies, evasion is proved to be possible
from any initial position of players.
ER  -