科研进展
带有固执个体的级联观点动力学的同步研究(洪奕光)
发布时间:2023-09-20 |来源:

  This article investigates a two-timescale opinion dynamics model, named the concatenated Friedkin–Johnsen (FJ) model, which describes the evolution of the opinions of a group of agents over a sequence of discussion events. The topology of the underlying graph changes with the event, in the sense that the agents can participate or less to an event, and the agents are stubborn, with stubbornness that can vary from one event to the other. Concatenation refers to the fact that the final opinions of an event become initial conditions of the next event. We show that a concatenated FJ model can be represented as a time-varying product of stochastic transition matrices having a special form. Conditions are investigated under which a concatenated FJ model can achieve consensus in spite of the stubbornness. Four different sufficient conditions are obtained, mainly based on the special topological structure of our stochastic matrices.  

      

  Publication:  

  IEEE Transactions on Automatic Control, Volume: 68, Issue: 7, July 2023.  

  http://dx.doi.org/10.1109/TAC.2022.3200888  

      

  Author:  

  Lingfei Wang  

  Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China  

  University of Chinese Academy of Sciences, Beijing, China  

    

  Carmela Bernardo  

  Group for Research on Automatic Control Engineering, Department of Engineering, University of Sannio, Benevento, Italy  

  Division of Automatic Control, Department of Electrical Engineering, Link?ping University, Link?ping, Sweden  

    

  Yiguang Hong  

  Department of Control Science and Engineering, Tongji University, Shanghai, China  

  Email: yghong@iss.ac.cn  

    

  Francesco Vasca  

  Group for Research on Automatic Control Engineering, Department of Engineering, University of Sannio, Benevento, Italy  

    

  Guodong Shi  

  Australian Center for Field Robotics, School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW, Australia  

    

  Claudio Altafini  

  Division of Automatic Control, Department of Electrical Engineering, Link?ping University, Link?ping, Sweden  


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