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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: Ferrara, Massimiliano, Gafurjan, Ibragimov, Salimi, Mehdi
Format: Article
Published: Accademia Peloritana dei Pericolanti 2017
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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spelling my.upm.eprints.628952022-11-24T04:34:38Z http://psasir.upm.edu.my/id/eprint/62895/ Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane Ferrara, Massimiliano Gafurjan, Ibragimov Salimi, Mehdi 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. Accademia Peloritana dei Pericolanti 2017-11 Article PeerReviewed Ferrara, Massimiliano and Gafurjan, Ibragimov and Salimi, Mehdi (2017) Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane. Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali, 95 (2). pp. 1-6. ISSN 1825-1242 https://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.952A6 10.1478/AAPP.952A6
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description 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.
format Article
author Ferrara, Massimiliano
Gafurjan, Ibragimov
Salimi, Mehdi
spellingShingle Ferrara, Massimiliano
Gafurjan, Ibragimov
Salimi, Mehdi
Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
author_facet Ferrara, Massimiliano
Gafurjan, Ibragimov
Salimi, Mehdi
author_sort Ferrara, Massimiliano
title Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
title_short Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
title_full Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
title_fullStr Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
title_full_unstemmed Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
title_sort pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
publisher Accademia Peloritana dei Pericolanti
publishDate 2017
url http://psasir.upm.edu.my/id/eprint/62895/
https://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.952A6
_version_ 1751538191801778176
score 13.211869

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