Journal · 2011
A Generalized Zames-Falb Multiplier
D. Materassi, M. V. Salapaka
IEEE Trans. Automatic Control
Abstract
Lur'e systems represent feedback interconnections of a Linear Time-Invariant system with a nonlinear operator. The Zames-Falb criterion is a powerful tool to determine the stability of a Lur'e system when the nonlinear operator is defined by a monotonic, odd and single-valued function. The article provides a generalization of the Zames-Falb criterion for the analysis of stability of a Lur'e system for nonlinear static operators that are "approximately" monotonic and odd. This result extends the standard Zames-Falb criterion with an additional notion of "robustness".
BibTeX
@article{materassi-2011-a-generalized-zames-falb-multiplier,
title = {A Generalized Zames-Falb Multiplier},
author = {D. Materassi and M. V. Salapaka},
journal = {IEEE Trans. Automatic Control},
year = {2011}
}