文献类型：会议论文

英文题名：Mean Square Consensus under Coopetitive Social Networks with Communication Noise

作者：Cai, Hanzhe[1];Yuan, Fanli[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, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

会议论文集：40th Chinese Control Conference (CCC)

会议日期：JUL 26-28, 2021

会议地点：Shanghai, PEOPLES R CHINA

语种：英文

外文关键词：Opinion dynamic; Coopetitive networks; Undirected graph; Altafini model; Communication noise

摘要：This paper aims to investigate a stochastic Altafini model, in which individuals are disturbed by the communication noise. We use coopetitive networks to describe their affiliation of classes. Different from the general situations with noises, when the opinion values in the classes converge, the noise will decrease. We consider the communication noise, when the differences of opinion values are larger, the influences of noise are greater. When the opinion values are reaching to biparite consensus, the influences of noise are decreasing, such a design is more in line with the reality. By constructing the appropriate Lyapunov function, the conditions for the stochastic stability of the system are obtained. We get the conclusion of mean square biparite consensus. In addition, numerical simulation results can verify the theoretical results.