On the optimal control of opinion dynamics on evolving networks

Giacomo Albi, Lorenzo Pareschi, Mattia Zanella

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

17 Scopus citations

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.

Original languageEnglish
Title of host publicationSystem Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, Revised Selected Papers
EditorsAbderrahmane Habbal, Lorena Bociu, Jean-Antoine Desideri
PublisherSpringer New York LLC
Pages58-67
Number of pages10
ISBN (Print)9783319557946
DOIs
StatePublished - 2016
Externally publishedYes
Event27th IFIP TC7 Conference on System Modeling and Optimization, CSMO 2015 - Sophia Antipolis, France
Duration: 29 Jun 20153 Jul 2015

Publication series

NameIFIP Advances in Information and Communication Technology
Volume494
ISSN (Print)1868-4238

Conference

Conference27th IFIP TC7 Conference on System Modeling and Optimization, CSMO 2015
Country/TerritoryFrance
City Sophia Antipolis
Period29/06/153/07/15

Keywords

  • Collective behavior
  • Consensus dynamics
  • Model predictive control
  • Multi-agent systems
  • Scale-free networks

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