文献类型：会议论文

英文题名：Stochastic Stability of Opinion Dynamics with Stubbornness

作者：Liang, Haili[2];Zhou, Zhao[1]

机构：[1]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai Key Lab Power Stn Automat Technol, Shanghai 200072, Peoples R China

会议论文集：11th Asian Control Conference (ASCC)

会议日期：DEC 17-20, 2017

会议地点：Gold Coast, AUSTRALIA

语种：英文

摘要：In this paper we investigate the stochastic stability of opinion dynamics model in which each individual's current opinion is influenced by others. We assume that the social network is strongly connected topology and that each individual's opinion continually is subjected to small stochastic multiplicative noises and a stubborn opinion. We first propose a general stochastic opinion dynamics model with a stubborn opinion. We then consider the stochastic stability of the system. According to the mathematical concepts, it turns out that there are at least three different types of stochastic stability: stability in probability, moment stability and almost sure stability. We focus on the stochastic stability in probability in this paper. The time evolution of opinion dynamics is described by the stochastic differential equation with multiplicative noise. We establish clearly the condition under which the average of opinions can reach stochastic stability in probability and we develop sufficient condition that the error system for all opinions is stochastic stability in probability. Besides theoretical analysis, we demonstrate our results through numerical computations and simulations as well.