DocumentCode :
1157788
Title :
Functional Analysis Applied to Nonlinear Feedback Systems
Author :
Zames, George
Volume :
10
Issue :
3
fYear :
1963
fDate :
9/1/1963 12:00:00 AM
Firstpage :
392
Lastpage :
404
Abstract :
An operator theory is outlined for the general, nonlinear, feedback loop. Methods for bounding system responses and investigating stability are introduced. An iterative expansion of the feedback loop, valid for large nonlinearities and unstable systems, is derived. The theory is applied to the study of nonlinear distortion in a class of amplifiers; it is shown that feedback reduces distortion for band-limited inputs. A model of the distortion is obtained, shown to be stable, and an iteration whose rate of convergence is optimized is derived.
Keywords :
Algebra; Contracts; Convergence; Feedback loop; Functional analysis; Gain; History; Nonlinear distortion; Nonlinear systems; Stability;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1963.1082162
Filename :
1082162
Link To Document :
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