On the optimal control of opinion dynamics on evolving networks
Optimization and Control
2015-11-03 v1 Adaptation and Self-Organizing Systems
Abstract
In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a coupling of an opinion alignment system with a probabilistic description of the network. The optimal control problem aims at forcing consensus over the network, to this goal a control strategy based on the degree of connection of each agent has been designed. A numerical method based on a model predictive strategy is then developed and different numerical tests are reported. The results show that in this way it is possible to drive the overall opinion toward a desired state even if we control only a suitable fraction of the nodes.
Keywords
Cite
@article{arxiv.1511.00145,
title = {On the optimal control of opinion dynamics on evolving networks},
author = {Giacomo Albi and Lorenzo Pareschi and Mattia Zanella},
journal= {arXiv preprint arXiv:1511.00145},
year = {2015}
}