Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric
Joint Authors
Ibragimov, Gafurjan I.
Kuchkarov, Atamurat
Ferrara, Massimiliano
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider pursuit and evasion differential games of a group of m pursuers and one evader on manifolds with Euclidean metric.
The motions of all players are simple, and maximal speeds of all players are equal.
If the state of a pursuer coincides with that of the evader at some time, we say that pursuit is completed.
We establish that each of the differential games (pursuit or evasion) is equivalent to a differential game of m groups of countably many pursuers and one group of countably many evaders in Euclidean space.
All the players in any of these groups are controlled by one controlled parameter.
We find a condition under which pursuit can be completed, and if this condition is not satisfied, then evasion is possible.
We construct strategies for the pursuers in pursuit game which ensure completion the game for a finite time and give a formula for this time.
In the case of evasion game, we construct a strategy for the evader.
American Psychological Association (APA)
Kuchkarov, Atamurat& Ibragimov, Gafurjan I.& Ferrara, Massimiliano. 2016. Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103323
Modern Language Association (MLA)
Kuchkarov, Atamurat…[et al.]. Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1103323
American Medical Association (AMA)
Kuchkarov, Atamurat& Ibragimov, Gafurjan I.& Ferrara, Massimiliano. Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103323
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103323