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Optimal control using Pontryagins maximum principle in a linear quadratic differential game.

This paper deals with a class of two person zero-sum linear qu adratic differential games, where the control functions for both players subject to integral constraints. Also the necessary conditions of the Maximum Principle are studied. Main objective in this work is to obtain optimal control by...

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Main Authors: Khakestari, Marzieh, Ibragimov, Gafurjan, Suleiman, Mohamed
Format: Article
Language:English
English
Published: World Scientific Publishing 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25297/1/Optimal%20control%20using%20Pontryagins%20maximum%20principle%20in%20a%20linear%20quadratic%20differential%20game.pdf
http://psasir.upm.edu.my/id/eprint/25297/
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spelling my.upm.eprints.252972015-09-21T01:09:38Z http://psasir.upm.edu.my/id/eprint/25297/ Optimal control using Pontryagins maximum principle in a linear quadratic differential game. Khakestari, Marzieh Ibragimov, Gafurjan Suleiman, Mohamed This paper deals with a class of two person zero-sum linear qu adratic differential games, where the control functions for both players subject to integral constraints. Also the necessary conditions of the Maximum Principle are studied. Main objective in this work is to obtain optimal control by using method of Pontryagin’s Maximum Principle. This method for a time-varying linear quadratic differential game is described. Finally, we discuss about an example. World Scientific Publishing 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25297/1/Optimal%20control%20using%20Pontryagins%20maximum%20principle%20in%20a%20linear%20quadratic%20differential%20game.pdf Khakestari, Marzieh and Ibragimov, Gafurjan and Suleiman, Mohamed (2012) Optimal control using Pontryagins maximum principle in a linear quadratic differential game. International Journal of Modern Physics: Conference Series, 9. pp. 543-551. ISSN 2010-1945 10.1142/S2010194512005648 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description This paper deals with a class of two person zero-sum linear qu adratic differential games, where the control functions for both players subject to integral constraints. Also the necessary conditions of the Maximum Principle are studied. Main objective in this work is to obtain optimal control by using method of Pontryagin’s Maximum Principle. This method for a time-varying linear quadratic differential game is described. Finally, we discuss about an example.
format Article
author Khakestari, Marzieh
Ibragimov, Gafurjan
Suleiman, Mohamed
spellingShingle Khakestari, Marzieh
Ibragimov, Gafurjan
Suleiman, Mohamed
Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
author_facet Khakestari, Marzieh
Ibragimov, Gafurjan
Suleiman, Mohamed
author_sort Khakestari, Marzieh
title Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
title_short Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
title_full Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
title_fullStr Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
title_full_unstemmed Optimal control using Pontryagins maximum principle in a linear quadratic differential game.
title_sort optimal control using pontryagins maximum principle in a linear quadratic differential game.
publisher World Scientific Publishing
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/25297/1/Optimal%20control%20using%20Pontryagins%20maximum%20principle%20in%20a%20linear%20quadratic%20differential%20game.pdf
http://psasir.upm.edu.my/id/eprint/25297/
_version_ 1643828619199381504
score 13.211869

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