DocumentCode
803402
Title
A Laurent expansion for the gain matrix
Author
Bronson, Richard D. ; Rose, Kicholas J.
Author_Institution
Fairleigh Dickinson University, Teaneck, NJ, USA
Volume
15
Issue
3
fYear
1970
fDate
6/1/1970 12:00:00 AM
Firstpage
368
Lastpage
372
Abstract
This paper is concerned with the behavior near the terminal time of a fixed time fixed end point linear time-varying control problem with a quadratic performance index. In a previous paper [3], the asymptotic behavior of the gain matrix near the terminal time was found. These results are used now to obtain a constructive method for finding a convergent Laurent expansion of the gain matrix in some neighborhood of the terminal time.
Keywords
Linear systems, time-varying continuous-time; Time-optimal control; Closed-form solution; Control systems; Cost function; Delay effects; Delay lines; Delay systems; Feedback control; Linear systems; Mathematics; Optimal control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1970.1099469
Filename
1099469
Link To Document