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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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World Scientific Publishing
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25297/ http://psasir.upm.edu.my/id/eprint/25297/1/Optimal%20control%20using%20Pontryagins%20maximum%20principle%20in%20a%20linear%20quadratic%20differential%20game.pdf |
| _version_ | 1848845271092428800 |
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| author | Khakestari, Marzieh Ibragimov, Gafurjan Suleiman, Mohamed |
| author_facet | Khakestari, Marzieh Ibragimov, Gafurjan Suleiman, Mohamed |
| author_sort | Khakestari, Marzieh |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:44:10Z |
| format | Article |
| id | upm-25297 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:44:10Z |
| publishDate | 2012 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Khakestari, Marzieh Ibragimov, Gafurjan Suleiman, Mohamed Optimal control using Pontryagins maximum principle in a linear quadratic differential game. |
| title | 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_short | 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. |
| url | http://psasir.upm.edu.my/id/eprint/25297/ http://psasir.upm.edu.my/id/eprint/25297/ http://psasir.upm.edu.my/id/eprint/25297/1/Optimal%20control%20using%20Pontryagins%20maximum%20principle%20in%20a%20linear%20quadratic%20differential%20game.pdf |