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Infinite time linear quadratic differential games for singular systems

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4 Author(s)
Tongxin Wu ; School of Mathematics, Shandong University, Jinan, 250100, China ; Jun-e Feng ; Lequn Zhang ; Hui Man

This paper deals with the problem of infinite time linear quadratic differential games for singular systems, including nonzero-sum case and zero-sum case. Considering the admissibility of singular systems, two theorems about the differential games are obtained, which provide the optimal strategies and the optimal cost functions via some coupled equations. Finally, two numerical examples are given to illustrate the effectiveness of the results.

Published in:

2012 24th Chinese Control and Decision Conference (CCDC)

Date of Conference:

23-25 May 2012