Control of multiscale model for social dynamics

Benedetto Piccoli, Francesco Rossi

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We illustrate a multiscale model for social dynamics of large groups. The examples we have in mind span both cases of real dynamics, such as crowd in motion, but also virtual dynamics, such as opinion formation in social networks. The model is based on a measure theoretic approach, where the space of Radon measure with finite mass is endowed with a generalized Wasserstein metric. The latter allows the comparison of measures with different mass, thus including models in which the total mass of the measure may vary in time. The control paradigm is a centralized sparse control algorithm: A centralized controller is free to act on any agent of the system, but with the constraint of acting only on a small number of agents at the same time. We show some results in the completely discrete case and some new approach to deal with the continuum and mixed cases.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781479932726
StatePublished - Jan 1 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2014 American Control Conference, ACC 2014
CountryUnited States
CityPortland, OR

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • Agents-based systems
  • Distributed parameter systems
  • Variational methods

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