English

External Bias and Opinion Clustering in Cooperative Networks

Systems and Control 2024-12-30 v1 Systems and Control

Abstract

In this work, we consider a group of n agents which interact with each other in a cooperative framework. A Laplacian-based model is proposed to govern the evolution of opinions in the group when the agents are subjected to external biases like agents' traits, news, etc. The objective of the paper is to design a control input which leads to any desired opinion clustering even in the presence of external bias factors. Further, we also determine the conditions which ensure the reachability to any arbitrary opinion states. Note that all of these results hold for any kind of graph structure. Finally, some numerical simulations are discussed to validate these results.

Keywords

Cite

@article{arxiv.2412.18905,
  title  = {External Bias and Opinion Clustering in Cooperative Networks},
  author = {Akshay Nagesh Kamthe and Vishnudatta Thota and Aashi Shrinate and Twinkle Tripathy},
  journal= {arXiv preprint arXiv:2412.18905},
  year   = {2024}
}

Comments

6 pages, 3 figures, Accepted provisionally as Technical Communique in Automatica