Linear Discrete Pursuit Game with Phase Constraints
Joint Authors
Raxmonov, Asqar
Ibragimov, Gafurjan I.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-29
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems.
Position of the evader satisfies phase constraints: y ∈ G , where G is a subset of R n .
We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total constraints.
Terminal set M is a subset of R n and it is assumed to have a nonempty interior.
Game is said to be completed if y k - x ( k ) ∈ M at some step k ; thus, the evader has not the right to leave set G .
To construct the control of the pursuer, at each step i , we use the value of the control parameter of the evader at the step i .
We obtain sufficient conditions of completion of pursuit from certain initial positions of the players in finite time interval and construct a control for the pursuer in explicit form.
American Psychological Association (APA)
Raxmonov, Asqar& Ibragimov, Gafurjan I.. 2014. Linear Discrete Pursuit Game with Phase Constraints. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1049622
Modern Language Association (MLA)
Raxmonov, Asqar& Ibragimov, Gafurjan I.. Linear Discrete Pursuit Game with Phase Constraints. The Scientific World Journal No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1049622
American Medical Association (AMA)
Raxmonov, Asqar& Ibragimov, Gafurjan I.. Linear Discrete Pursuit Game with Phase Constraints. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1049622
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049622