%A Muhammad Wakhid Musthofa
%J International Journal of Applied Mathematics and Statistics
%T The Open-Loop Zero-Sum Linear Quadratic Impulse Free
Descriptor Differential Game
%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.
%N No. 5
%K zero-sum linear quadratic differential game, open-loop information structure,
descriptor systems.
%P 29-44
%V Vol.35
%D 2013
%I CESER Publications
%L digilib22145