Title :
Infinite time linear quadratic differential games for discrete-time singular systems
Author :
Wu, Tongxin ; Feng, Jun-e
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
Abstract :
This paper deals with the problem of infinite time linear quadratic differential games for discrete-time singular systems, including nonzero-sum case and zero-sum case. Considering the admissibility of discrete-time singular systems, two sufficient conditions about the differential games are obtained, which provide the optimal strategies and the optimal cost functions via some coupled equations and inequations. Finally, an numerical example is given to illustrate the effectiveness of the results.
Keywords :
differential games; discrete time systems; discrete-time singular system; infinite time linear games; nonzero-sum case; optimal cost function; quadratic differential games; Cost function; Educational institutions; Equations; Game theory; Games; Symmetric matrices; Differential games; admissibility; linear quadratic; optimal cost functions; optimal strategies;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
