On sector stability of opinion dynamics with stubborn extremists

Shidong Zhai, Wei Xing Zheng

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This paper studies the sector stability problem of opinion dynamics with stubborn extremists, where interactions among individuals can be cooperative or antagonistic. The sector stability is just considered for equilibrium points lying on the boundary. First, two types of sufficient conditions are presented for the sector stability of an equilibrium point. Based on one of the sufficient conditions, an algorithm is proposed to estimate the attraction region of a sector stable equilibrium point. Next, some necessary conditions are presented for the sector stability of an equilibrium point. Moreover, it is also discussed about under what conditions there does not exist an equilibrium point that is sector stable. Finally, three numerical examples are presented to illustrate the validity of the obtained results.
Original languageEnglish
Article number110454
Number of pages8
JournalAutomatica
Volume144
DOIs
Publication statusPublished - 2022

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