### 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) |
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Title of host publication | Proceedings of the 2011 American Control Conference, ACC 2011 |

Pages | 1990-1993 |

Number of pages | 4 |

State | Published - Sep 29 2011 |

Event | 2011 American Control Conference, ACC 2011 - San Francisco, CA, United States Duration: Jun 29 2011 → Jul 1 2011 |

### Publication series

Name | Proceedings of the American Control Conference |
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ISSN (Print) | 0743-1619 |

### Other

Other | 2011 American Control Conference, ACC 2011 |
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Country | United States |

City | San Francisco, CA |

Period | 6/29/11 → 7/1/11 |

### Fingerprint

### Cite this

*Proceedings of the 2011 American Control Conference, ACC 2011*(pp. 1990-1993). [5990816] (Proceedings of the American Control Conference).

**A generalized Zames-Falb multiplier.** / Materassi, Donatello; Salapaka, Murti V.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 2011 American Control Conference, ACC 2011.*, 5990816, Proceedings of the American Control Conference, pp. 1990-1993, 2011 American Control Conference, ACC 2011, San Francisco, CA, United States, 6/29/11.

}

TY - GEN

T1 - A generalized Zames-Falb multiplier

AU - Materassi, Donatello

AU - Salapaka, Murti V.

PY - 2011/9/29

Y1 - 2011/9/29

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".

UR - http://www.scopus.com/inward/record.url?scp=80053163439&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053163439&partnerID=8YFLogxK

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

ER -