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

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.

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Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Keyword:Control; Differential game; Evasion; Integral constraint; Strategy
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing LLC
DOI Number:10.1063/1.4823892
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823892
ID Code:57265
Deposited By: Nabilah Mustapa
Deposited On:26 Sep 2017 11:48
Last Modified:26 Sep 2017 11:48

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