DocumentCode
1102357
Title
A counterexample on continuous coprime factors
Author
Treil, S.
Author_Institution
Dept. of Math., Michigan State Univ., East Lansing, MI, USA
Volume
39
Issue
6
fYear
1994
fDate
6/1/1994 12:00:00 AM
Firstpage
1262
Lastpage
1263
Abstract
In Georgiou and Smith (1992), the following question was raised: Consider a linear, shift-invariant system on L2[0, ∞). Let the graph of the system have Fourier transform (MN)H2 (i.e., the system has a transfer function P=N/M) where M, N are elements of CA={f∈H∞: f is continuous on the compactified right-half plane}. Is it possible to normalize M and N (i.e., to ensure |M|2+|N|2=1) in CA? The author shows by example that this is not always possible
Keywords
Fourier transforms; graph theory; linear systems; transfer functions; Fourier transform; continuous coprime factors; graph; linear shift-invariant system; transfer function; Australia; Control design; Control system synthesis; Digital control; Feedback control; Feedback loop; Fourier transforms; Optimal control; Robust control; Sampling methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.293192
Filename
293192
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