In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scalefree 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.
CITATION STYLE
Albi, G., Pareschi, L., & Zanella, M. (2016). On the optimal control of opinion dynamics on evolving networks. In IFIP Advances in Information and Communication Technology (Vol. 494, pp. 58–67). Springer New York LLC. https://doi.org/10.1007/978-3-319-55795-3_4
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