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
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.
2017
Pursuit evasion games; convex sets; control
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/3121
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