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

155 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

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10.1109/acc.2010.5531506

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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.",

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year = "2010",

doi = "10.1109/acc.2010.5531506",

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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

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AU - Scardovi, Luca

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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.

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Robustness of noisy consensus dynamics with directed communication

Abstract

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