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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Bibliographic Details
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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Summary: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.