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A differential game with integral constraints in a half space.

We study a pursuit-evasion differential game of one pursuer and one evader in a half-space. On control functions of the players integral constraints are imposed. Duration of the game T is fixed. If at this time the state of the pursuer coincides with that of the evader then pursuit is considered co...

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Main Authors: Ibragimov, Gafurjan, Ismail, Fudziah, Abd Rasid, Norshakila
Format: Conference or Workshop Item
Language:English
English
Published: 2012
Online Access:http://psasir.upm.edu.my/id/eprint/27408/1/ID%2027408.pdf
http://psasir.upm.edu.my/id/eprint/27408/
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spelling my.upm.eprints.274082014-06-13T07:33:34Z http://psasir.upm.edu.my/id/eprint/27408/ A differential game with integral constraints in a half space. Ibragimov, Gafurjan Ismail, Fudziah Abd Rasid, Norshakila We study a pursuit-evasion differential game of one pursuer and one evader in a half-space. On control functions of the players integral constraints are imposed. Duration of the game T is fixed. If at this time the state of the pursuer coincides with that of the evader then pursuit is considered completed. The state of the evader at the time T must belong to the half-space. In this game, the goal of the pursuer is to complete the pursuit as soon as possible, whereas the evader E wants to maximize the capture time. The evader uses information about the state of the pursuer only, whereas the pursuer uses the current value of the evader’s control parameter. The main result of this paper is the solution of the pursuit-evasion differential game. It should be noted that the energy recourse of the evader can be less than that of the pursuer. This theorem enables us to obtain the solution of the differential game problem with many pursuers. 2012 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27408/1/ID%2027408.pdf Ibragimov, Gafurjan and Ismail, Fudziah and Abd Rasid, Norshakila (2012) A differential game with integral constraints in a half space. In: 2012 Conference on Computer Science & Computational Mathematics (CCSCM 2012), 9-10 Feb. 2012, Melaka, Malaysia. (pp. 106-107). English
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/
language English
English
description We study a pursuit-evasion differential game of one pursuer and one evader in a half-space. On control functions of the players integral constraints are imposed. Duration of the game T is fixed. If at this time the state of the pursuer coincides with that of the evader then pursuit is considered completed. The state of the evader at the time T must belong to the half-space. In this game, the goal of the pursuer is to complete the pursuit as soon as possible, whereas the evader E wants to maximize the capture time. The evader uses information about the state of the pursuer only, whereas the pursuer uses the current value of the evader’s control parameter. The main result of this paper is the solution of the pursuit-evasion differential game. It should be noted that the energy recourse of the evader can be less than that of the pursuer. This theorem enables us to obtain the solution of the differential game problem with many pursuers.
format Conference or Workshop Item
author Ibragimov, Gafurjan
Ismail, Fudziah
Abd Rasid, Norshakila
spellingShingle Ibragimov, Gafurjan
Ismail, Fudziah
Abd Rasid, Norshakila
A differential game with integral constraints in a half space.
author_facet Ibragimov, Gafurjan
Ismail, Fudziah
Abd Rasid, Norshakila
author_sort Ibragimov, Gafurjan
title A differential game with integral constraints in a half space.
title_short A differential game with integral constraints in a half space.
title_full A differential game with integral constraints in a half space.
title_fullStr A differential game with integral constraints in a half space.
title_full_unstemmed A differential game with integral constraints in a half space.
title_sort differential game with integral constraints in a half space.
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/27408/1/ID%2027408.pdf
http://psasir.upm.edu.my/id/eprint/27408/
_version_ 1643829174306078720
score 13.211869

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