Citation
Rakhmanov, Askar and Ibragimov, Gafurjan and Ferrara, Massimiliano
(2016)
Linear pursuit differential game under phase constraint on the state of evader.
Discrete Dynamics in Nature and Society, 2016.
art. no. 1289456.
pp. 1-6.
ISSN 1026-0226; ESSN: 1607-887X
Abstract
We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion y(t1) - x(t1) ϵ M is satisfied at some t1 > 0, where x(t) and y(t) are states of pursuer and evader, respectively, and M is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2016/1289456 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Linear pursuit differential game; Evader; Pursuer; Phase constraint |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 01 Aug 2017 08:55 |
| Last Modified: | 01 Aug 2017 08:55 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2016/1289456 |
| URI: | http://psasir.upm.edu.my/id/eprint/56537 |
| Statistic Details: | View Download Statistic |
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