Mean-field optimal control by leaders

Massimo Fornasier, Benedetto Piccoli, Nastassia Pouradier Duteil, Francesco Rossi

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

In this paper we deal with a social dynamics model, where one controls a small number of leaders in order to influence the behavior of the whole group (leaders and followers). We first provide a general mathematical framework to deal with optimal control of the microscopic problem, where the number of agents is finite, and its mean-field limit with an infinite number of followers. Then we focus on a migration-type model and develop optimal control strategies for the microscopic model. Such strategies are tested in their behavior both for the number of agents tending to infinity and for different initial conditions and initial locations of the leaders.

Original languageEnglish (US)
Article number7040482
Pages (from-to)6957-6962
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2015-February
Issue numberFebruary
DOIs
StatePublished - Jan 1 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

Fingerprint

Mean Field
Optimal Control
Social Dynamics
Mean-field Limit
Dynamic models
Optimal Strategy
Migration
Control Strategy
Dynamic Model
Initial conditions
Infinity
Model

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Fornasier, M., Piccoli, B., Duteil, N. P., & Rossi, F. (2014). Mean-field optimal control by leaders. Proceedings of the IEEE Conference on Decision and Control, 2015-February(February), 6957-6962. [7040482]. https://doi.org/10.1109/CDC.2014.7040482
Fornasier, Massimo ; Piccoli, Benedetto ; Duteil, Nastassia Pouradier ; Rossi, Francesco. / Mean-field optimal control by leaders. In: Proceedings of the IEEE Conference on Decision and Control. 2014 ; Vol. 2015-February, No. February. pp. 6957-6962.
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Fornasier, M, Piccoli, B, Duteil, NP & Rossi, F 2014, 'Mean-field optimal control by leaders', Proceedings of the IEEE Conference on Decision and Control, vol. 2015-February, no. February, 7040482, pp. 6957-6962. https://doi.org/10.1109/CDC.2014.7040482

Mean-field optimal control by leaders. / Fornasier, Massimo; Piccoli, Benedetto; Duteil, Nastassia Pouradier; Rossi, Francesco.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 2015-February, No. February, 7040482, 01.01.2014, p. 6957-6962.

Research output: Contribution to journalConference article

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