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Linear Pursuit Differential Game under Phase Constraint on the State of Evader
Joint Authors
Rakhmanov, Askar
Ibragimov, Gafurjan I.
Ferrara, Massimiliano
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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)∈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.
American Psychological Association (APA)
Rakhmanov, Askar& Ibragimov, Gafurjan I.& Ferrara, Massimiliano. 2016. Linear Pursuit Differential Game under Phase Constraint on the State of Evader. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1103319
Modern Language Association (MLA)
Rakhmanov, Askar…[et al.]. Linear Pursuit Differential Game under Phase Constraint on the State of Evader. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1103319
American Medical Association (AMA)
Rakhmanov, Askar& Ibragimov, Gafurjan I.& Ferrara, Massimiliano. Linear Pursuit Differential Game under Phase Constraint on the State of Evader. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1103319
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103319