TY - GEN
T1 - A generalized Zames-Falb multiplier
AU - Materassi, Donatello
AU - Salapaka, Murti V.
PY - 2011
Y1 - 2011
N2 - 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".
AB - 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".
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U2 - 10.1109/acc.2011.5990816
DO - 10.1109/acc.2011.5990816
M3 - Conference contribution
AN - SCOPUS:80053163439
SN - 9781457700804
T3 - Proceedings of the American Control Conference
SP - 1990
EP - 1993
BT - Proceedings of the 2011 American Control Conference, ACC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
ER -