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Consensus problems on networks with antagonistic interactions

Altafini, Claudio
2013
  • journal article

Periodico
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Abstract
In a consensus protocol an agreement among agents is achieved thanks to the collaborative efforts of all agents, expresses by a communication graph with nonnegative weights. The question we ask in this paper is the following: is it possible to achieve a form of agreement also in presence of antagonistic interactions, modeled as negative weights on the communication graph? The answer to this question is affirmative: on signed networks all agents can converge to a consensus value which is the same for all agents except for the sign. Necessary and sufficient conditions are obtained to describe cases in which this is possible. These conditions have strong analogies with the theory of monotone systems. Linear and nonlinear Laplacian feedback designs are proposed.
DOI
10.1109/TAC.2012.2224251
WOS
WOS:000316807300009
Archivio
http://hdl.handle.net/20.500.11767/30106
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84875588811
Diritti
metadata only access
Soggetti
  • Consensus problem

  • Signed graph

  • Structural Balance

Scopus© citazioni
924
La settimana scorsa
10
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
1179
Data di acquisizione
Mar 19, 2024
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
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