Erschienen in:CentER Discussion Paper Series ; No. 2008-90
Umfang:
1 Online-Ressource (20 p)
Sprache:
Englisch
DOI:
10.2139/ssrn.1288571
Identifikator:
Entstehung:
Anmerkungen:
Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments October 22, 2008 erstellt
Beschreibung:
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