A generalized Zames-Falb multiplier

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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 languageEnglish (US)
Article number5710393
Pages (from-to)1432-1436
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume56
Issue number6
DOIs
StatePublished - Jun 1 2011

Keywords

  • Nonlinear control systems

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