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A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader


Citation

Rakhmanov, Askar and Ibragimov, Gafurjan (2016) A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. .

Abstract

We consider a simple motion pursuit differential game of one pursuer and one evader. Control of the pursuer is subjected to integral constraint, and that of the evader is subjected to geometric constraint. More precisely, value of control parameter of the evader belongs to a given convex subset of ℝn. Pursuit is completed if the evader becomes in l vicinity of the pursuer. Sufficient conditions of completion of pursuit are obtained.


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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/10.1063/1.4952543
Publisher: AIP Publishing
Keywords: Simple motion; Game; Pursuer; Evader; Control of the pursuer
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 10:29
Last Modified: 08 Sep 2017 10:29
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952543
URI: http://psasir.upm.edu.my/id/eprint/57199
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