Title :
The area enclosed by the (oriented) Nyquist diagram and the Hilbert-Schmidt-Hankel norm of a linear system
Author_Institution :
Dept. of Econ., Free Univ., Amsterdam, Netherlands
fDate :
6/1/1992 12:00:00 AM
Abstract :
It is shown that the Hilbert-Schmidt-Hankel norm (HSH-norm) of a transfer function of a stable system is equal, up to a constant factor, to the square root of the area enclosed by the oriented Nyquist diagram of the transfer function (multiplicities included). A generalization is presented for the case of systems which have no poles on the stability boundary, but otherwise have no restrictions on the pole locations
Keywords :
Nyquist diagrams; linear systems; poles and zeros; stability criteria; transfer functions; Hilbert-Schmidt-Hankel norm; Nyquist diagram; linear system; pole locations; stability boundary; stable system; transfer function; Econometrics; Linear systems; Power system control; Power system modeling; Power systems; Reduced order systems; Robust control; Stability; System identification; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
