论文信息 - A Proof of the Convergence of the Hegselmann-Krause Dynamics on the Circle - 字舞流文

A Proof of the Convergence of the Hegselmann-Krause Dynamics on the Circle

In this note, we give a complete proof that Hegselmann-Krause systems converge on the circle following the proof strategy developed by Hegarty, Martinsson, and Wedin.

Matthias Függer | Bernadette Charron-Bost | Thomas Nowak

[1] Anders Martinsson,et al. The Hegselmann-Krause dynamics on the circle converge , 2014, ArXiv.

[2] Matthias Függer,et al. Approximate Consensus in Highly Dynamic Networks: The Role of Averaging Algorithms , 2014, ICALP.

[3] Bernard Chazelle,et al. The Total s-Energy of a Multiagent System , 2010, SIAM J. Control. Optim..

[4] Emilio Frazzoli,et al. Lyapunov analysis of quadratically symmetric neighborhood consensus algorithms , 2008, 2008 47th IEEE Conference on Decision and Control.

[5] Brian D. O. Anderson,et al. Reaching a Consensus in a Dynamically Changing Environment: Convergence Rates, Measurement Delays, and Asynchronous Events , 2008, SIAM J. Control. Optim..