Title :
A counterexample on continuous coprime factors
Author_Institution :
Dept. of Math., Michigan State Univ., East Lansing, MI, USA
fDate :
6/1/1994 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
