@inproceedings{eab8dab7aa1c4b5096cfa341b26e21b7,
title = "Termination time of multidimensional Hegselmann-Krause opinion dynamics",
abstract = "We consider the Hegselmann-Krause model for opinion dynamics in higher dimensions. Our goal is to investigate the termination time of these dynamics, which has been investigated for a scalar case, but remained an open question for dimensions higher than one. We provide a polynomial upper bound for the termination time of the dynamics when the connectivity among the agents maintains a certain structure. Our approach is based on the use of an adjoint dynamics for the Hegselmann-Krause model and a Lyapunov comparison function that is defined in terms of the adjoint dynamics.",
keywords = "Multidimensional Hegselmann-Krause model, discrete time dynamics, non-linear time-varying dynamics, opinion dynamics",
author = "Etesami, \{Seyed Rasoul\} and Tamer Basar and Angelia Nedic and Behrouz Touri",
year = "2013",
doi = "10.1109/acc.2013.6580008",
language = "English (US)",
isbn = "9781479901777",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1255--1260",
booktitle = "2013 American Control Conference, ACC 2013",
address = "United States",
note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",
}