The European Physical Journal Special Topics

, Volume 224, Issue 17–18, pp 3325–3342 | Cite as

On the control of the Heider balance model

  • S. WongkaewEmail author
  • M. CaponigroEmail author
  • K. KułakowskiEmail author
  • A. BorzìEmail author
Regular Article Physics of Social Interactions
Part of the following topical collections:
  1. Dynamics of Animal Systems


The Heider social balance model describes the evolution of the relationships in a social network of humans or animals. This model is built upon the concept of balance of triads consisting of friendly or hostile edges representing the state of the network. In this differential model, a leader is introduced in order to control the system and to drive the social network to a desired relationship state. Further, the stability, the local controllability, and the optimal control through leadership of the Heider model are investigated. Results of numerical experiments demonstrate the ability of the proposed control strategy to drive the Heider balance model to friendship.


Triad Optimal Control Problem European Physical Journal Special Topic Model Predictive Control Propose Control Strategy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© EDP Sciences and Springer 2015

Authors and Affiliations

  1. 1.Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 31WürzburgGermany
  2. 2.Conservatoire National des Arts et Métiers, Équipe M2NParisFrance
  3. 3.Faculty of Physics and Applied Computer Science, AGH University of Science and Technology al. Mickiewicza 30KrakòwPoland
  4. 4.Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30WürzburgGermany

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