Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
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 o...
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| Main Authors: | , , |
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| Format: | Article |
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Accademia Peloritana dei Pericolanti
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/62895/ https://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.952A6 |
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| Summary: | 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. |
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