@techreport{d92c853382214421aa7c60f1817f7b79,

title = "The Optimal Linear Quadratic Feedback State Regulator Problem for Index One Descriptor Systems",

abstract = "In this note we present both necessary and sufficient conditions for the existence of a linear static state feedback controller if the system is described by an index one descriptor system. A priori no definiteness restrictions are made w.r.t. the quadratic performance criterium. It is shown that in general the set of solutions that solve the problem constitutes a manifold. This feedback formulation of the optimization problem is natural in the context of differential games and we provide a characterization of feedback Nash equilibria in a deterministic context.",

keywords = "linear quadratic optimal control, descriptor systems, static stabilizing state feedback control",

author = "J.C. Engwerda and Y. Salmah and I.E. Wijayanti",

note = "Subsequently published in International Journal of Control, 2009 (rt) Pagination: 20",

year = "2008",

language = "English",

volume = "2008-90",

series = "CentER Discussion Paper",

publisher = "Operations research",

type = "WorkingPaper",

institution = "Operations research",

}