Opinion dynamics with stubborn neutrals and competitive interactions

Shidong Zhai, Wei Xing Zheng

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

This paper investigates a general nonlinear model of opinion dynamics with stubborn neutrals and competitive interactions. Based on Perron-Frobenius property of eventually positive matrices and LaSalle invariance principle, we conduct a comprehensive theoretical analysis of the generalized nonlinear opinion dynamics. We obtain some sufficient conditions such that the states of all agents converge into the subspace spanned by the right positive eigenvector of an eventually positive matrix. Finally, a numerical example is given to illustrate obtained results.
Original languageEnglish
Title of host publicationProceedings of the 37th Chinese Control Conference, 25-27 July 2018, Wuhan, China
PublisherIEEE
Pages608-613
Number of pages6
ISBN (Print)9789881563941
DOIs
Publication statusPublished - 2018
EventChinese Control Conference -
Duration: 25 Jul 2018 → …

Publication series

Name
ISSN (Print)1934-1768

Conference

ConferenceChinese Control Conference
Period25/07/18 → …

Keywords

  • competition (psychology)
  • matrices
  • opinion dynamics
  • opinions
  • social networks
  • symmetry (mathematics)

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