Frequency-domain condition for the existence of a Lyapunov functional for the problem of Lurie

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.

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Bibliographic Details
Published in:IEEE transactions on automatic control 1980-06, Vol.25 (3), p.555-557
Main Authors: Byrne, P., O'Reilly, N.
Format: Article
Language:English
Subjects:
Control systems
Eigenvalues and eigenfunctions
Frequency domain analysis
Laplace equations
Nonlinear equations
Stability
Sufficient conditions
Symmetric matrices
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Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1980.1102331