UPM Institutional Repository

Construction of strategies of pursuers in a differential game of many players with state and integral constraints


Citation

Ibragimov, Gafurjan and Rahmanov, Asqar and Alias, Idham Arif (2013) Construction of strategies of pursuers in a differential game of many players with state and integral constraints. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 37-43).

Abstract

The approach of a group of controlled objects, the pursuers, to another one, the evaders, is considered. The motions of all the objects are described by simple differential equations. The control functions of players are subjected to integral constraints. The amount of control resources such as fuel, energy etc. are described by such constraints. Given a non-empty convex subset of Rn all objects move in this set. If the position of each evader yj , j ∈ {1, 2, ..., k}, coincides with the position of a pursuer xi, i ∈ {1, ..., m}, at some time tj , i.e. xi(tj ) = yj (tj ), then we say that pursuit can be completed. The total resource of the pursuers is assumed to be greater than that of the evaders. We show that pursuit can be completed in this differential game.


Download File

[img]
Preview
PDF (Abstract)
Construction of strategies of pursuers in a differential game of many players with state and integral constraints.pdf

Download (87kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1007/978-981-4585-33-0_5
Publisher: Springer Singapore
Keywords: Differential game; Controlled objects; Integral constraints; Differential equations
Depositing User: Nursyafinaz Mohd Noh
Date Deposited: 20 Aug 2015 00:30
Last Modified: 24 Aug 2017 08:26
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/978-981-4585-33-0_5
URI: http://psasir.upm.edu.my/id/eprint/39835
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item