DocumentCode
792778
Title
On the uniqueness of the extremal controls for a class of minimum fuel problems
Author
Athans, Michael
Author_Institution
Massachusetts Institute of Technology, Cambridge, MA, USA
Volume
11
Issue
4
fYear
1966
fDate
10/1/1966 12:00:00 AM
Firstpage
660
Lastpage
668
Abstract
The purpose of this paper is to investigate the uniqueness of the extremal controls, i.e., the controls which satisfy the necessary conditions provided by the maximum principle, for a class of minimum fuel problems pertaining to the control of single input, linear, time-invariant systems. Sufficient conditions for a fuel-optimal problem to be normal are given; then it is shown that the normal extremal controls can be unique under suitable assumptions.
Keywords
Fuel-optimal control; Linear systems, time-invariant continuous-time; Constraint optimization; Contracts; Control systems; Cost function; Design optimization; Fuels; Optimal control; Space technology; Sufficient conditions; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1966.1098447
Filename
1098447
Link To Document