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 | |
| 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 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
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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
TY - GEN
T1 - Noncausal Zames-Falb Multipliers for Tighter Estimates of Exponential Convergence Rates
AU - Freeman, Randy A.
PY - 2018/8/9
Y1 - 2018/8/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85052606119&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052606119&partnerID=8YFLogxK
U2 - 10.23919/ACC.2018.8430801
DO - 10.23919/ACC.2018.8430801
M3 - Conference contribution
AN - SCOPUS:85052606119
SN - 9781538654286
T3 - Proceedings of the American Control Conference
SP - 2984
EP - 2989
BT - 2018 Annual American Control Conference, ACC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
ER -