Title :
On the optimization of vector-valued performance criteria
Author :
Goodwin, Graham C. ; Kabaila, Paul V. ; Ng, Tung Sang
Author_Institution :
University of Newcastle, NSW, Australia
fDate :
12/1/1975 12:00:00 AM
Abstract :
This note presents necessary and sufficient conditions for the existence of superior solutions to optimization problems having vector-valued performance criteria. It is further shown that, when a superior solution exists, it can be found by optimization of scalar performance criteria.
Keywords :
Optimization methods; Cost function; Filtering; Standards development; Sufficient conditions; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1101114