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

Randy A. Freeman

doi:10.23919/ACC.2018.8430801

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

Randy A. Freeman^*

^*Corresponding author for this work

Electrical and Computer Engineering

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

2 Scopus citations

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 language	English (US)
Title of host publication	2018 Annual American Control Conference, ACC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2984-2989
Number of pages	6
ISBN (Print)	9781538654286
DOIs	https://doi.org/10.23919/ACC.2018.8430801
State	Published - Aug 9 2018
Event	2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018

Publication series

Name	Proceedings of the American Control Conference
Volume	2018-June
ISSN (Print)	0743-1619

Other

Other	2018 Annual American Control Conference, ACC 2018
Country	United States
City	Milwauke
Period	6/27/18 → 6/29/18

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.23919/ACC.2018.8430801

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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

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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.",

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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 proceeding › Conference contribution

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