Title :
On optimal controls having finite order of singularity
Author_Institution :
Purdue University, West Lafayette, IN
Abstract :
For the linear-quadratic partially singular regulator, necessary and sufficient conditions are derived for the existence of optimal controls having any given finite maximum order of singularity. The main condition is a matrix rank condition. The finite horizon problem with free and constrained right end point is considered and complete solutions are obtained.
Keywords :
Cost function; Differential equations; Optimal control; Regulators; State-space methods; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 1984. The 23rd IEEE Conference on
Conference_Location :
Las Vegas, Nevada, USA
DOI :
10.1109/CDC.1984.272148
