In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has a Nash equilibrium.
|Title of host publication
|Proceedings of the 14th International Symposium on Dynamic Games and Applications (ISDG2010)
|P. Cardaliaguet, R. Cressman
|Place of Publication
|Published - 2010
|Annals of the International Society of Dynamic Games