Title :
The circle criterion and quadratic Lyapunov functions for stability analysis
Author_Institution :
University of Ghent, Ghent, Belgium
fDate :
4/1/1973 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1973.1100260
