Title :
Positive definiteness of a quadratic functional
Author_Institution :
Purdue University, West Lafayette, Indiana
Abstract :
In a 1975 paper, Coppel proved that under certain continuity and controllability hypotheses, the infinum of a quadratic linear functional subject to linear differential equations constraints and either fixed or free terminal constraint, is a quadratic function of the initial state. We show here that if a strengthened generalized Legendre-Clebsch condition holds then there is a linear optimal feedback control law when the terminal constraint is linear.
Keywords :
Feedback; Telecommunication standards;
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1979 18th IEEE Conference on
Conference_Location :
Fort Lauderdale, FL, USA
DOI :
10.1109/CDC.1979.270251
