TY - JOUR
T1 - On sector stability of opinion dynamics with stubborn extremists
AU - Zhai, Shidong
AU - Zheng, Wei Xing
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
UR - https://hdl.handle.net/1959.7/uws:69949
U2 - 10.1016/j.automatica.2022.110454
DO - 10.1016/j.automatica.2022.110454
M3 - Article
VL - 144
JO - Automatica
JF - Automatica
M1 - 110454
ER -