论文信息 - Finite-time convergence of KH model under asymmetric confidence levels

Finite-time convergence of KH model under asymmetric confidence levels

In this note, we address the KH opinion dynamics model under asymmetric confidence levels. We show that the system converges to an equilibrium in a finite time, and provide an estimation of the convergence time. Illustrative examples are carried out to show the validity of our approach.

Zhendong Sun | Dongbin Shen

[1] Jie Huang,et al. A note on connectivity of multi-agent systems with proximity graphs and linear feedback protocol , 2009, Autom..

[2] 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..

[3] Janke Dittmer. Consensus formation under bounded confidence , 2001 .

[4] U. Krause. A DISCRETE NONLINEAR AND NON–AUTONOMOUS MODEL OF CONSENSUS FORMATION , 2007 .

[5] Jan Lorenz,et al. Continuous Opinion Dynamics under Bounded Confidence: A Survey , 2007, 0707.1762.

[6] Rainer Hegselmann,et al. Opinion dynamics and bounded confidence: models, analysis and simulation , 2002, J. Artif. Soc. Soc. Simul..

[7] M. Cao,et al. A Lower Bound on Convergence of a Distributed Network Consensus Algorithm , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[8] R.W. Beard,et al. Discrete-time average-consensus under switching network topologies , 2006, 2006 American Control Conference.

[9] John N. Tsitsiklis,et al. On the 2R conjecture for multi-agent systems , 2007, 2007 European Control Conference (ECC).

[10] C. Canuto,et al. A Eulerian approach to the analysis of rendez-vous algorithms , 2008 .

[11] Luc Moreau,et al. Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.