文章来源:理学院    发布时间:2022-09-19    浏览次数:63

  题  目:Asynchronous Expressed and Private Opinion Dynamics on Influence Networks

  报 告 人:夏卫国 教授


  报告地点:线上腾讯会议442 408 147


  夏卫国,分别于2006年和2009年在东南大学获得学士和硕士学位,2013年在荷兰格罗宁根大学获得博士学位,2013-2015年在瑞典皇家理工学院从事博士后研究工作。现任大连理工大学控制科学与工程学院教授,复杂系统与控制研究所所长。主要研究兴趣包括分布式协同控制、多自主体系统、复杂网络系统等,发表论文50余篇,主持国家自然科学基金优秀青年基金、面上项目等,入选辽宁省“兴辽英才计划”青年拔尖人才,担任国际期刊Systems & Control Letters编委。


  In this talk, we discuss an asynchronous discrete-time opinion dynamics model for a social influence network, which consists of a population of interacting individuals, each holding a private and expressed opinion. At each time instant, a single individual activates and updates both her expressed and private opinions simultaneously. While an individual's new private opinion is shaped by the expressed opinions of her neighbors and attachment to an existing prejudice, her expressed opinion is instead a trade-off between her true private opinion and a “public opinion”, representing the current norm or standard opinion from the perspective of the individual. We show that the expressed and private opinions of all individuals converge to the same value exponentially fast when no individual holds an existing prejudice, with the lower bound on the convergence speed based on a general assumption on the network topology. If there are individuals who hold an existing prejudice, then the final opinion of every individual lie between the minimum and maximum value of those constant prejudices. Simulations are provided to illustrate the results.