DocumentCode
3121190
Title
The Nyquist Stability Criterion For A Class Of Spatially Periodic Systems
Author
Fardad, Makan ; Bamieh, Bassam
Author_Institution
Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93105-5070. email: fardad@engineering.ucsb.edu
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
5275
Lastpage
5280
Abstract
The Nyquist stability criterion is extended to a class of spatially periodic systems with spatially distributed inputs and outputs. It is demonstrated that the exponential stability of this class of systems can be guaranteed by checking the Nyquist stability criterion for a family of finite-dimensional systems. In order to show this result, a new version of the argument principle is derived that is applicable to systems with infinite-dimensional input/output spaces and unbounded system operators.
Keywords
Feedback; Frequency domain analysis; Partial differential equations; Spatial resolution; Stability analysis; Stability criteria; System testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1583000
Filename
1583000
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