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Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints


Citation

Ibragimov, Gafurjan and Karapanan, Piriatharisini and Alias, Idham Arif (2015) Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 223-226).

Abstract / Synopsis

A pursuit differential game of two pursuers and one evader in ℝ2 is studied. All players' controls are subjected to coordinate-wise integral constraints. By definition, pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The problem is to find conditions of completion of pursuit. We show that if the energy vector of the evader belongs to a polygon, then pursuit can be completed.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1109/ICREM.2015.7357058
Publisher: IEEE
Keywords: Control; Integral constraints; Pursuit; Strategy
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:13
Last Modified: 03 May 2017 04:13
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICREM.2015.7357058
URI: http://psasir.upm.edu.my/id/eprint/51902
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