Robustness of noisy consensus dynamics with directed communication

George Forrest Young; Luca Scardovi; Naomi Ehrich Leonard

doi:10.1109/acc.2010.5531506

Robustness of noisy consensus dynamics with directed communication

George Forrest Young, Luca Scardovi, Naomi Ehrich Leonard

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

152 Scopus citations

Abstract

In this paper we study robustness of consensus in networks of coupled single integrators driven by white noise. Robustness is quantified as the H ₂ norm of the closed-loop system. In particular we investigate how robustness depends on the properties of the underlying (directed) communication graph. To this end several classes of directed and undirected communication topologies are analyzed and compared. The trade-off between speed of convergence and robustness to noise is also investigated.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Publisher	IEEE Computer Society
Pages	6312-6317
Number of pages	6
ISBN (Print)	9781424474264
DOIs	https://doi.org/10.1109/acc.2010.5531506
State	Published - 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1109/acc.2010.5531506

Cite this

@inproceedings{1a9434138d1d419f9d96e988e64abc5a,

title = "Robustness of noisy consensus dynamics with directed communication",

abstract = "In this paper we study robustness of consensus in networks of coupled single integrators driven by white noise. Robustness is quantified as the H 2 norm of the closed-loop system. In particular we investigate how robustness depends on the properties of the underlying (directed) communication graph. To this end several classes of directed and undirected communication topologies are analyzed and compared. The trade-off between speed of convergence and robustness to noise is also investigated.",

author = "Young, {George Forrest} and Luca Scardovi and Leonard, {Naomi Ehrich}",

year = "2010",

doi = "10.1109/acc.2010.5531506",

language = "English (US)",

isbn = "9781424474264",

series = "Proceedings of the 2010 American Control Conference, ACC 2010",

publisher = "IEEE Computer Society",

pages = "6312--6317",

booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",

address = "United States",

}

Robustness of noisy consensus dynamics with directed communication. / Young, George Forrest; Scardovi, Luca; Leonard, Naomi Ehrich.

Proceedings of the 2010 American Control Conference, ACC 2010. IEEE Computer Society, 2010. p. 6312-6317 5531506 (Proceedings of the 2010 American Control Conference, ACC 2010).

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

TY - GEN

T1 - Robustness of noisy consensus dynamics with directed communication

AU - Young, George Forrest

AU - Scardovi, Luca

AU - Leonard, Naomi Ehrich

PY - 2010

Y1 - 2010

N2 - In this paper we study robustness of consensus in networks of coupled single integrators driven by white noise. Robustness is quantified as the H 2 norm of the closed-loop system. In particular we investigate how robustness depends on the properties of the underlying (directed) communication graph. To this end several classes of directed and undirected communication topologies are analyzed and compared. The trade-off between speed of convergence and robustness to noise is also investigated.

AB - In this paper we study robustness of consensus in networks of coupled single integrators driven by white noise. Robustness is quantified as the H 2 norm of the closed-loop system. In particular we investigate how robustness depends on the properties of the underlying (directed) communication graph. To this end several classes of directed and undirected communication topologies are analyzed and compared. The trade-off between speed of convergence and robustness to noise is also investigated.

UR - http://www.scopus.com/inward/record.url?scp=77957799589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957799589&partnerID=8YFLogxK

U2 - 10.1109/acc.2010.5531506

DO - 10.1109/acc.2010.5531506

M3 - Conference contribution

AN - SCOPUS:77957799589

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 6312

EP - 6317

BT - Proceedings of the 2010 American Control Conference, ACC 2010

PB - IEEE Computer Society

ER -

Robustness of noisy consensus dynamics with directed communication

Abstract

Publication series

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this