DocumentCode :
831826
Title :
On the generalized nyquist stability criterion
Author :
Desoer, Charles A. ; Wang, Yung-Terng
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
25
Issue :
2
fYear :
1980
fDate :
4/1/1980 12:00:00 AM
Firstpage :
187
Lastpage :
196
Abstract :
This paper starts with a straightforward self-contained treatment of the generalized Nyquist stability criterion based on the eigenloci of the open-loop transfer function matrix. The derivation is straightforward and does not invoke algebraic function theory, branch cuts, and Riemann surfaces. A similar criterion is derived for the distributed case where the open-loop transfer function matrices belong to the recently proposed algebra B(\\sigma _{0})^{m \\times m} [9], [14]. This leads to a new graphical sability test based on eigenloci which applies to distributed, possibly unstable, open-loop transfer functions.
Keywords :
Distributed systems, linear time-invariant; Stability; Transfer function matrices; Algebra; Helium; Inspection; Laboratories; Polynomials; Stability analysis; Stability criteria; Surface treatment; Testing; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1980.1102280
Filename :
1102280
Link To Document :
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