Infinite time linear quadratic differential games for discrete-time singular systems

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.