DocumentCode
834207
Title
A new proof of Rosenbrock´s theorem on pole assignment
Author
Flamm, David S.
Author_Institution
The Aerospace Corporation, Los Angeles, CA, USA
Volume
25
Issue
6
fYear
1980
fDate
12/1/1980 12:00:00 AM
Firstpage
1128
Lastpage
1133
Abstract
A new constructive proof is given of a theorem by Rosenbrock on changing the poles of a finite-dimensional linear time-invariant dynamical system by linear constant state feedback. The necessity of Rosenbrock´s conditions is proven by a geometrical argument. The sufficiency of these conditions is established by means of a recursion to construct feedbacks. The algorithms for the recursion are proven in this paper, and the author has implemented the algorithms with computer programs.
Keywords
Linear time-invariant (LTI) systems; Pole assignment; State-feedback; Control systems; Controllability; Discrete transforms; Jacobian matrices; Kalman filters; Linear feedback control systems; Polynomials; Space technology; State feedback; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1980.1102509
Filename
1102509
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