Name
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/ACC.2013.6580008 | American Control Conference |
Keywords | Field | DocType |
Lyapunov methods,dynamics,Hegselmann-Krause model,Lyapunov comparison function,connectivity,multidimensional Hegselmann-Krause opinion dynamics,termination time,Multidimensional Hegselmann-Krause model,discrete time dynamics,non-linear time-varying dynamics,opinion dynamics | Lyapunov function,Polynomial,Control theory,Upper and lower bounds,Scalar (physics),Opinion dynamics,Mathematics | Conference |
ISSN | ISBN | Citations |
0743-1619 | 978-1-4799-0177-7 | 8 |
PageRank | References | Authors |
0.54 | 5 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Seyed Rasoul Etesami | 1 | 44 | 2.86 |
| Tamer Basar | 2 | 3497 | 402.11 |
| Angelia Nedic | 3 | 2323 | 148.65 |
| Behrouz Touri | 4 | 176 | 21.12 |