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
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583000
