doi: 10.17706/ijapm.2016.6.3.80-87
Asymptotic Behaviors of an Opinion Dynamical System without or with a Leader
,
Xiao Wang
,
- College of Science, National University of Defense Technology, Changsha, Hunan, P. R. China
Abstract
Consensus problems of an opinion dynamical system without a leader and with a leader under CS and MT influence functions are studied and a simple proof to guarantee that an opinion dynamical system can reach a consensus is also obtained in this paper. Moreover, results show that the system with a leader reaches a consensus more slowly than that without a leader by numerical simulations.
Keywords
- Dini derivative
- Lyapunov function
- opinion consensus
How to Cite
Ye Cheng, Xiao Wang, and Xiongwei Liu, "Asymptotic Behaviors of an Opinion Dynamical System without or with a Leader," International Journal of Applied Physics and Mathematics, vol. 6, no. 3, pp. 80-87, 2016. https://doi.org/ 10.17706/ijapm.2016.6.3.80-87
Copyright & License
Copyright © 2016 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).