Tag Archives: optimal control

Mean field control hierarchy

Giacomo Albi, Young-Pil Choi, Massimo Fornasier, and Dante Kalise (01/08/2016  arxiv.org/abs/1608.01728) In this paper we model the role of a government of a large population as a mean field optimal control problem. Such control problems are constrainted by a PDE … Continue reading

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Recent advances in opinion modeling: control and social influence

Giacomo Albi, Lorenzo Pareschi, Giuseppe Toscani, Mattia Zanella (01/07/2016, arxiv.org/abs/1607.05853 to appear in  springer.com/series/4960) We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential … Continue reading

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Selective model-predictive control for flocking systems

Giacomo Albi, Lorenzo Pareschi (16/03/2016 arxiv.org/abs/1603.05012) In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of the control. As a first step toward a reduction of … Continue reading

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On the optimal control of opinion dynamics on evolving networks

Giacomo Albi, Lorenzo Pareschi, Mattia Zanella (31/10/2015  arxiv.org/abs/1511.00145) In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a … Continue reading

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Invisible control of self-organizing agents leaving unknown environments

Giacomo Albi, Mattia Bongini, Emiliano Cristiani, Dante Kalise (15/04/2015  arXiv.org/1504.04064) In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic … Continue reading

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Boltzmann type control of opinion consensus through leaders

Giacomo Albi,  Lorenzo Pareschi, Mattia Zanella. (06/05/2014  arXiv:1405.0736) The study of formations and dynamics of opinions leading to the so called opinion consensus is one of the most important areas in mathematical modeling of social sciences. Following the Boltzmann type control … Continue reading

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Kinetic description of optimal control problems and applications to opinion consensus

Giacomo Albi, Michael Herty, Lorenzo Pareschi (30/01/2014 arXiv:1401.7798) In this paper an optimal control problem for a large system of interacting agents is considered using a kinetic perspective. As a prototype model we analyze a microscopic model of opinion formation under … Continue reading

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Asymptotic Preserving time-discretization of optimal control problems for the Goldstein-Taylor model

  Giacomo Albi, Michael Herty, Christian Jörres, Lorenzo Pareschi (01/08/2013 arXiv:1307.8303) We consider the development of implicit-explicit time integration schemes for optimal control problems governed by the Goldstein-Taylor model. In the diffusive scaling this model is a hyperbolic approximation to the … Continue reading

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