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.

On the optimal control of opinion dynamics on evolving networks

Albi, Giacomo;Pareschi, Lorenzo;Zanella, Mattia
2016

Abstract

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.
2016
9783319557946
Collective behavior; Consensus dynamics; Model predictive control; Multi-agent systems; Scale-free networks; Information Systems and Management
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2397787
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