DocumentCode
828013
Title
On minimum energy control of commutative bilinear systems
Author
Wei, K.C. ; Pearson, A.E.
Author_Institution
Combustion Engineering, Incorporated, Windsor, CT, USA
Volume
23
Issue
6
fYear
1978
fDate
12/1/1978 12:00:00 AM
Firstpage
1020
Lastpage
1023
Abstract
A minimum energy control problem is considered for commutative bilinear systems with and without terminal constraints. Optimal controls are shown to be constant vectors determined by the boundary conditions. Sufficient conditions are derived for uniqueness of the optimal control in the absence of a terminal constraint. A class of physical bilinear systems is discussed which possesses the commutative property.
Keywords
Bilinear systems, continuous-time; Minimum-energy control; Adaptive control; Communication system control; Control systems; Error correction; Feedback; Nonlinear systems; Optimal control; Symmetric matrices; Time varying systems; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1978.1101908
Filename
1101908
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