@article{digilib22145, volume = {Vol.35}, number = {No. 5}, month = {January}, author = {Muhammad Wakhid Musthofa}, title = {The Open-Loop Zero-Sum Linear Quadratic Impulse Free Descriptor Differential Game}, publisher = {CESER Publications}, year = {2013}, journal = {International Journal of Applied Mathematics and Statistics}, pages = {29--44}, keywords = {zero-sum linear quadratic differential game, open-loop information structure, descriptor systems.}, url = {https://digilib.uin-suka.ac.id/id/eprint/22145/}, abstract = {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.} }