DocumentCode
3171499
Title
Multi-dimensional Hegselmann-Krause dynamics
Author
Nedic, Angelia ; Touri, Behrouz
Author_Institution
Ind. & Enterprise Syst. Eng. Dept., Univ. of Illinois, Urbana, IL, USA
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
68
Lastpage
73
Abstract
We consider multi-dimensional Hegselmann-Krause model for opinion dynamics in discrete-time for a set of homogeneous agents. Using dynamic system point of view, we investigate stability properties of the dynamics and show its finite time convergence. The novelty of this work lies in the use of dynamic system approach and the development of Lyapunov-type tools for the analysis of the Hegselmann-Krause model. Furthermore, some new insights and results are provided. The results are valid for any norm that is used to define the neighbor sets.
Keywords
Lyapunov methods; convergence; discrete time systems; multidimensional systems; networked control systems; stability; Lyapunov-type tools; discrete-time system; finite time convergence; multidimensional Hegselmann-Krause dynamics; opinion dynamics; stability; Analytical models; Convergence; Educational institutions; Lyapunov methods; Stability analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426417
Filename
6426417
Link To Document