We study a differential game of many pursuers and one evader in the plane. It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. The game is over when the state of the evader y coincides with that of a pursuer xi, i = {1,..., m} at given time ti (unspecified), i.e., xi(ti) = y(ti). We obtain conditions under which the game is over in finite time, no matter where the players start from. Moreover, we construct winning for the pursuers.
PURSUIT-EVASION GAME OF MANY PLAYERS WITH COORDINATE-WISE INTEGRAL CONSTRAINTS ON A CONVEX SET IN THE PLANE / Ferrara, Massimiliano; Ibragimov, G; Salimi, M. - In: ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. - ISSN 1825-1242. - 95:2(2017), pp. 6-66. [10.1478/AAPP.952A6]
PURSUIT-EVASION GAME OF MANY PLAYERS WITH COORDINATE-WISE INTEGRAL CONSTRAINTS ON A CONVEX SET IN THE PLANE
FERRARA, Massimiliano
Validation
;
2017-01-01
Abstract
We study a differential game of many pursuers and one evader in the plane. It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. The game is over when the state of the evader y coincides with that of a pursuer xi, i = {1,..., m} at given time ti (unspecified), i.e., xi(ti) = y(ti). We obtain conditions under which the game is over in finite time, no matter where the players start from. Moreover, we construct winning for the pursuers.| File | Dimensione | Formato | |
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