Title :
Frequency-domain condition for the existence of a Lyapunov functional for the problem of Lurie
Author :
Byrne, P.C. ; O´Reilly, N.
Author_Institution :
University College, Dublin, Ireland
fDate :
6/1/1980 12:00:00 AM
Abstract :
A sufficient condition is presented for the existence of a Lyapunov functional of the type quadratic form plus integral of the nonlinearity. It is expressed in the frequency domain and takes account of both sector and slope restrictions on the nonlinear element.
Keywords :
Lyapunov functions; Nonlinear systems, continuous-time; Control systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Laplace equations; Nonlinear equations; Stability; Sufficient conditions; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102331
