A generalized Zames-Falb multiplier

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
Pages1990-1993
Number of pages4
StatePublished - Sep 29 2011
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: Jun 29 2011Jul 1 2011

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA
Period6/29/117/1/11

Fingerprint

Feedback

Cite this

Materassi, D., & Salapaka, M. V. (2011). A generalized Zames-Falb multiplier. In 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.

Proceedings of the 2011 American Control Conference, ACC 2011. 2011. p. 1990-1993 5990816 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Materassi, D & Salapaka, MV 2011, A generalized Zames-Falb multiplier. in 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.
Materassi D, Salapaka MV. A generalized Zames-Falb multiplier. In Proceedings of the 2011 American Control Conference, ACC 2011. 2011. p. 1990-1993. 5990816. (Proceedings of the American Control Conference).
Materassi, Donatello ; Salapaka, Murti V. / A generalized Zames-Falb multiplier. Proceedings of the 2011 American Control Conference, ACC 2011. 2011. pp. 1990-1993 (Proceedings of the American Control Conference).
@inproceedings{b794ad41c3da467d890228c79493ed84,
title = "A generalized Zames-Falb multiplier",
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{"}.",
author = "Donatello Materassi and Salapaka, {Murti V.}",
year = "2011",
month = "9",
day = "29",
language = "English (US)",
isbn = "9781457700804",
series = "Proceedings of the American Control Conference",
pages = "1990--1993",
booktitle = "Proceedings of the 2011 American Control Conference, ACC 2011",

}

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 -