DocumentCode
2647595
Title
Infinite time linear quadratic differential games for singular systems
Author
Wu, Tongxin ; Feng, Jun-e ; Zhang, Lequn ; Man, Hui
Author_Institution
Sch. of Math., Shandong Univ., Jinan, China
fYear
2012
fDate
23-25 May 2012
Firstpage
57
Lastpage
62
Abstract
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.
Keywords
differential games; linear quadratic control; infinite time linear quadratic differential games; nonzero-sum case; optimal cost functions; optimal strategies; singular systems; zero-sum case; Cost function; Equations; Games; Nash equilibrium; Symmetric matrices; Differential games; admissibility; linear quadratic; optimal cost functions; optimal strategies;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location
Taiyuan
Print_ISBN
978-1-4577-2073-4
Type
conf
DOI
10.1109/CCDC.2012.6242923
Filename
6242923
Link To Document