DocumentCode
822341
Title
On a class of minimum energy controls related to spline functions
Author
Netravali, A.N. ; De Figueiredo, R. J P
Author_Institution
Bell Laboratories, Holmdel, NJ, USA
Volume
21
Issue
5
fYear
1976
fDate
10/1/1976 12:00:00 AM
Firstpage
725
Lastpage
727
Abstract
The problem of determining a minimum energy control for a dynamically interconnected set of 
single input-single output finite-dimensional linear time-varying dynamical systems, for which the outputs are constrained to assume prescribed values at different points in time, is considered. It is shown that the solution (optimal controller) is obtained by performing a linear operation on an appropriate vector-valued generalized interpolating spline.
single input-single output finite-dimensional linear time-varying dynamical systems, for which the outputs are constrained to assume prescribed values at different points in time, is considered. It is shown that the solution (optimal controller) is obtained by performing a linear operation on an appropriate vector-valued generalized interpolating spline.Keywords
Interconnected systems; Linear systems, time-varying continuous-time; Minimum-energy control; Spline functions; Approximation methods; Constraint theory; Control systems; Control theory; Interconnected systems; Interpolation; Large-scale systems; Optimal control; Spline; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1976.1101327
Filename
1101327
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