Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates

Randy A Freeman*

*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Zames-Falb multipliers are useful for proving the stability of nonlinear feedback loops, using either classical passivity theory or the theory of integral quadratic constraints. Recent papers have introduced new classes of such multipliers for proving exponential stability with guaranteed convergence rates. We extend these recent results to allow for noncausal multipliers and thereby reduce the conservativeness of the estimates of the exponential convergence rates.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2984-2989
Number of pages6
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

Fingerprint

Nonlinear feedback
Asymptotic stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Freeman, R. A. (2018). Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates. In 2018 Annual American Control Conference, ACC 2018 (pp. 2984-2989). [8430801] (Proceedings of the American Control Conference; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8430801
Freeman, Randy A. / Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates. 2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 2984-2989 (Proceedings of the American Control Conference).
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Freeman, RA 2018, Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates. in 2018 Annual American Control Conference, ACC 2018., 8430801, Proceedings of the American Control Conference, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 2984-2989, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8430801

Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates. / Freeman, Randy A.

2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 2984-2989 8430801 (Proceedings of the American Control Conference; Vol. 2018-June).

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

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Freeman RA. Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates. In 2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 2984-2989. 8430801. (Proceedings of the American Control Conference). https://doi.org/10.23919/ACC.2018.8430801