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Opinion dynamics with decentralized proportional–integral control strategy

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  • Shang, Lihui
  • Chen, Shan

Abstract

Opinion dynamics as a special type of complex human behavior has received increasing attention in recent years. From a control-theoretic point of view, the opinion dynamical system can be viewed as a decentralized control system. In this paper, we investigate opinion dynamics of the model in which each agent can adjust its opinion by using an incremental proportional–integral (PI) controller, where the opinion is updated according to the deviation between the average opinion of local neighbors’ and the individual one. Simulation results suggest the strong integral effect can promote the system to achieve consensus easily and reduce the number of subsets fast. In contrast, the proportional effect will impede the convergence of the system and prolong the time required to reach consensus. This observation is robust with different system sizes and provides a new way of thinking about guidance in opinion dynamics.

Suggested Citation

  • Shang, Lihui & Chen, Shan, 2019. "Opinion dynamics with decentralized proportional–integral control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119311264
    DOI: 10.1016/j.physa.2019.121916
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    Cited by:

    1. Wang, Chaoqian, 2021. "Opinion dynamics with bilateral propaganda and unilateral information blockade," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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