DocumentCode
811506
Title
The circle criterion and quadratic Lyapunov functions for stability analysis
Author
Willems, J.
Author_Institution
University of Ghent, Ghent, Belgium
Volume
18
Issue
2
fYear
1973
fDate
4/1/1973 12:00:00 AM
Firstpage
184
Lastpage
184
Abstract
In this note the general equivalence is pointed out between the stability results obtained by means of the circle criterion and those derived from an optimum quadratic Lyapunov function.
Keywords
Circle stability criterion; Lyapunov functions; Nonlinear systems, time-varying; Time-varying systems, nonlinear; Asymptotic stability; Feedback; Lyapunov method; Nonlinear equations; Stability analysis; Stability criteria; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1973.1100260
Filename
1100260
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