%0 Journal Article
%@ 0973-7545
%A Musthofa, Muhammad Wakhid
%D 2013
%F digilib:22145
%I CESER Publications
%J International Journal of Applied Mathematics and Statistics
%K zero-sum linear quadratic differential game, open-loop information structure,  descriptor systems.
%N No. 5
%P 29-44
%T The Open-Loop Zero-Sum Linear Quadratic Impulse Free  Descriptor Differential Game
%U https://digilib.uin-suka.ac.id/id/eprint/22145/
%V Vol.35
%X 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.