文献类型：会议论文

英文题名：Almost Sure Exponential Stability of Altafini Model with Multiplicative Noise for Opinion Dynamics

作者：Yuan, Fanli[1];Cui, Ying[1];Liang, Haili[1];Zhou, Zhao[2]

机构：[1]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai Key Lab Power Stn Automat Technol, Shanghai 200444, Peoples R China;[2]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China

会议论文集：39th Chinese Control Conference (CCC)

会议日期：JUL 27-29, 2020

会议地点：Shenyang, PEOPLES R CHINA

语种：英文

外文关键词：Signed Networks; Opinion Dynamics; Stability; Stochastic Systems

摘要：In this paper, we investigate the stability analysis of stochastic opinion dynamics in which the agents are interfered by multiplicative noise. We propose a stochastic Altafini model of opinion evolution in signed social networks with multiplicative noise and give the analysis of almost sure exponential stability (ASES). Compared with the deterministic opinion dynamic and stochastic opinion dynamics in additive noise environments, our results concern the effects of the agents' free will, i.e., multiplicative noise, in signed social networks. We establish a sufficient condition with stochastic multiplicative noise which can guarantee the stochastic system is almost sure exponential stability (ASES) when the parameters of the strength of noise is limited by the conditions. Numerical simulations are given to illustrate the above theoretical results.