Open AccessFinite‐time elimination of disagreement of opinion dynamics via covert noise
Author(s) -
Su Wei,
Chen Ge,
Yu Yongguang
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0918
Subject(s) - covert , noise (video) , divergence (linguistics) , computer science , value (mathematics) , intervention (counseling) , stability (learning theory) , multi agent system , integrable system , control theory (sociology) , mathematics , artificial intelligence , psychology , control (management) , pure mathematics , machine learning , philosophy , linguistics , psychiatry , image (mathematics)
Eliminating disagreement in a group is usually beneficial to social stability. In this study, the authors initiate a design of practical noise intervention to eliminate group disagreement. For the well‐known Hegselmann–Krause ‐based divisive system, the authors propose a quite simple but promising noise intervention strategy that could resolve the group disagreement in finite time and induce the opinions synchronised to a targeted value. To be specific, the authors intentionally introduce a weak random noise to only one agent to affect its evolutionary opinion and also a leader agent with a fixed opinion in a divisive group, then strictly prove that the disagreement is finally eliminated and opinions get synchronised to the leader's opinion in finite time. Moreover, the authors calculate the finite time, which is a new stopping time, when opinions synchronously reach the objective opinion value. It is interesting to find that the finite stopping time is integrable when the noise is oriented, while not integrable when the noise is neutral. This could provide a further guide for designing more efficient intervention strategies for elimination of divergence.