TY - JOUR ID - digilib22145 UR - https://digilib.uin-suka.ac.id/id/eprint/22145/ IS - No. 5 A1 - Musthofa, Muhammad Wakhid N2 - In this paper we study the open-loop zero-sum linear quadratic differential game for descriptor systems that have index one. We present both necessary and sufficient conditions for the existence of an open-loop Nash equilibrium. We also relate the existence of an open-loop Nash equilibrium with the theory of invariant subspaces. Keywords: zero-sum linear quadratic differential game, open-loop information structure, descriptor systems. VL - Vol.35 TI - The Open-Loop Zero-Sum Linear Quadratic Impulse Free Descriptor Differential Game AV - public EP - 44 Y1 - 2013/01/01/ PB - CESER Publications JF - International Journal of Applied Mathematics and Statistics KW - zero-sum linear quadratic differential game KW - open-loop information structure KW - descriptor systems. SN - 0973-7545 SP - 29 ER -