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Evasion differential game of two evaders and one pursuer with integral constraints


Citation

Alias, Idham Arif and Salleh, Yusra and Azamov, Abdulla (2013) Evasion differential game of two evaders and one pursuer with integral constraints. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 140-145).

Abstract / Synopsis

A simple motion evasion differential game of two evaders and one pursuer was studied. Control functions of all players are subjected to integral constraints. We say that evasion is possible if the state of at least one of the evaders does not coincide with that of the pursuer. We proved that if the total energy of the evaders is greater than or equal to the energy of the pursuer, then evasion is possible. Though the game is considered in a plane, the results of the paper can be easily extended to ℝn.


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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/10.1063/1.4823892
Publisher: AIP Publishing LLC
Keywords: Control; Differential game; Evasion; Integral constraint; Strategy
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:48
Last Modified: 26 Sep 2017 03:48
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823892
URI: http://psasir.upm.edu.my/id/eprint/57265
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