A generalized Zames-Falb multiplier

Donatello Materassi; murti v salapaka

doi:10.1109/TAC.2011.2112450

A generalized Zames-Falb multiplier

Donatello Materassi, murti v salapaka

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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".

Original language	English (US)
Article number	5710393
Pages (from-to)	1432-1436
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2011.2112450
State	Published - Jun 1 2011

Keywords

Nonlinear control systems

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10.1109/TAC.2011.2112450

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A generalized Zames-Falb multiplier

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