文献类型：期刊文献

英文题名：The stability analysis of stochastic opinion dynamics systems with multiplicative noise and time delays

作者：Zhou, Zhao[1];Yuan, Fanli[2];Liang, Haili[2];Ding, Baogang[3];Du, Wenli[1]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai, Peoples R China;[2]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai Key Lab Power Stn Automat Technol, Shanghai 200444, Peoples R China;[3]Shanghai Univ Engn Sci, Sch Urban Railway Transportat, Shanghai, Peoples R China

年份：2021

卷号：15

期号：13

起止页码：1769

外文期刊名：IET CONTROL THEORY AND APPLICATIONS

收录：;EI(收录号：20212310448717);WOS:【SCI-EXPANDED(收录号:WOS:000656238500001)】；

基金：National Key R&D Program of China, Grant/Award Number: 2018YFB1701103; National Natural Science Fund for Distinguished Young Scholars, Grant/AwardNumber: 61725301; National Natural Science Foundation ofChina, Grant/Award Numbers: 61703164, 61703261; Fundamental Research Funds for the Central Universities; Junior Fellowship of CASTAdvancedS&TThinktank Program, Grant/AwardNumber: DXB-ZKQN-2017-028

语种：英文

外文关键词：Continuous time systems - Stochastic systems - Phase noise - Stochastic models - System stability

摘要：This paper studies the stochastic stability of opinion formation systems under both non-time delay and time delay. Individuals whose opinions are affected by multiplicative noise are considered. Subsequently, a stochastic opinion formation model on coopetitive social networks which take both multiplicative noise and time delay into consideration and give the analysis of stochastic stability is introduced. When the continuous-time system of opinion evolution is disturbed by stochastic multiplicative noise, the stability of the stochastic opinion formation system is dependent on the noise intensity and the topology structure. When the continuous-time system of opinion dynamic is disturbed by time delay and multiplicative noise, the bounds of the noise intensity and time delay ensure the stochastic stability of the above system. Finally, numerical simulations are given to illustrate the above theoretical results.