Continuous-time consensus dynamics with quantized all-to-all communication

Francesca Ceragioli; Paolo Frasca

doi:10.1109/ECC.2015.7330820

Continuous-time consensus dynamics with quantized all-to-all communication

Francesca Ceragioli, Paolo Frasca

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

4 Citations (Scopus)

Abstract

This paper deals with a quantized version of a consensus dynamics in continuous-time, which is motivated by opinion dynamics applications. Under the assumption of all-to-all communication, we show existence and completeness of solutions, we characterize the equilibria, and we prove asymptotical convergence to a state of quantized consensus. For almost all initial conditions, the consensus value differs from the initial average by at most the quantizer precision. Furthermore, we discuss the implications of more general assumptions on the communication graph.

Original language	Undefined
Title of host publication	European Control Conference, ECC 2015
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	1926 -1931
Number of pages	6
ISBN (Print)	978-3-9524269-3-7
DOIs	https://doi.org/10.1109/ECC.2015.7330820
Publication status	Published - 15 Jul 2015
Event	2015 European Control Conference, ECC 2015 - Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015

Publication series

Name
Publisher	IEEE

Conference

Conference	2015 European Control Conference, ECC 2015
Abbreviated title	ECC
Country	Austria
City	Linz
Period	15/07/15 → 17/07/15

Keywords

EWI-26797
IR-99420
METIS-315588

Access to Document

10.1109/ECC.2015.7330820

http://eprints.eemcs.utwente.nl/secure2/26797/01/CF_ecc15.pdf

Cite this

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title = "Continuous-time consensus dynamics with quantized all-to-all communication",

abstract = "This paper deals with a quantized version of a consensus dynamics in continuous-time, which is motivated by opinion dynamics applications. Under the assumption of all-to-all communication, we show existence and completeness of solutions, we characterize the equilibria, and we prove asymptotical convergence to a state of quantized consensus. For almost all initial conditions, the consensus value differs from the initial average by at most the quantizer precision. Furthermore, we discuss the implications of more general assumptions on the communication graph.",

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AU - Frasca, Paolo

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Y1 - 2015/7/15

N2 - This paper deals with a quantized version of a consensus dynamics in continuous-time, which is motivated by opinion dynamics applications. Under the assumption of all-to-all communication, we show existence and completeness of solutions, we characterize the equilibria, and we prove asymptotical convergence to a state of quantized consensus. For almost all initial conditions, the consensus value differs from the initial average by at most the quantizer precision. Furthermore, we discuss the implications of more general assumptions on the communication graph.

AB - This paper deals with a quantized version of a consensus dynamics in continuous-time, which is motivated by opinion dynamics applications. Under the assumption of all-to-all communication, we show existence and completeness of solutions, we characterize the equilibria, and we prove asymptotical convergence to a state of quantized consensus. For almost all initial conditions, the consensus value differs from the initial average by at most the quantizer precision. Furthermore, we discuss the implications of more general assumptions on the communication graph.

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KW - METIS-315588

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