Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Mean-Field Optimal Control

Massimo Fornasier, Francesco Solombrino

ESAIM: COCV, 20 4 (2014) 1123-1152

Published online: 2014-08-08

DOI: https://doi.org/10.1051/cocv/2014009

This article has been cited by the following article(s):

Mean-field optimal control as Gamma-limit of finite agent controls

M. FORNASIER, S. LISINI, C. ORRIERI and G. SAVARÉ
European Journal of Applied Mathematics 30 (6) 1153 (2019)
DOI: 10.1017/S0956792519000044
See this article

Performance Bounds on Spatial Coverage Tasks by Stochastic Robotic Swarms

Fangbo Zhang, Andrea L. Bertozzi, Karthik Elamvazhuthi and Spring Berman
IEEE Transactions on Automatic Control 63 (6) 1473 (2018)
DOI: 10.1109/TAC.2017.2747769
See this article

Mean-Field Pontryagin Maximum Principle

Mattia Bongini, Massimo Fornasier, Francesco Rossi and Francesco Solombrino
Journal of Optimization Theory and Applications 175 (1) 1 (2017)
DOI: 10.1007/s10957-017-1149-5
See this article

On a mean field optimal control problem

José A. Carrillo, Edgard A. Pimentel and Vardan K. Voskanyan
Nonlinear Analysis 199 112039 (2020)
DOI: 10.1016/j.na.2020.112039
See this article

Differential inclusions in Wasserstein spaces: The Cauchy-Lipschitz framework

Benoît Bonnet and Hélène Frankowska
Journal of Differential Equations 271 594 (2021)
DOI: 10.1016/j.jde.2020.08.031
See this article

The Pontryagin Maximum Principle in the Wasserstein Space

Benoît Bonnet and Francesco Rossi
Calculus of Variations and Partial Differential Equations 58 (1) (2019)
DOI: 10.1007/s00526-018-1447-2
See this article

A Boltzmann approach to mean-field sparse feedback control * *Giacomo Albi and Massimo Fornasier acknowledge the support of the ERC-Starting Grant HDSPCONTR ”High-Dimensional Sparse Optimal Control”. Dante Kalise acknowledges the support of the ERC-Advanced grant OCLOC 668998 “From Open to Closed Loop Optimal Control of PDEs”.

Giacomo Albi, Massimo Fornasier and Dante Kalise
IFAC-PapersOnLine 50 (1) 2898 (2017)
DOI: 10.1016/j.ifacol.2017.08.646
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 3 (2018)
DOI: 10.1007/978-3-319-56436-4_1
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 107 (2018)
DOI: 10.1007/978-3-319-56436-4_2
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 155 (2018)
DOI: 10.1007/978-3-319-56436-4_3
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 239 (2018)
DOI: 10.1007/978-3-319-56436-4_4
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 323 (2018)
DOI: 10.1007/978-3-319-56436-4_5
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 447 (2018)
DOI: 10.1007/978-3-319-56436-4_6
See this article

Probabilistic Theory of Mean Field Games with Applications II

René Carmona and François Delarue
Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 541 (2018)
DOI: 10.1007/978-3-319-56436-4_7
See this article

Optimal control of multiagent systems in the Wasserstein space

Chloé Jimenez, Antonio Marigonda and Marc Quincampoix
Calculus of Variations and Partial Differential Equations 59 (2) (2020)
DOI: 10.1007/s00526-020-1718-6
See this article

Sparse Control of Hegselmann--Krause Models: Black Hole and Declustering

Benedetto Piccoli, Nastassia Pouradier Duteil and Emmanuel Trélat
SIAM Journal on Control and Optimization 57 (4) 2628 (2019)
DOI: 10.1137/18M1168911
See this article

Inferring interaction rules from observations of evolutive systems I: The variational approach

Mattia Bongini, Massimo Fornasier, Markus Hansen and Mauro Maggioni
Mathematical Models and Methods in Applied Sciences 27 (05) 909 (2017)
DOI: 10.1142/S0218202517500208
See this article

Pressureless Euler alignment system with control

Giacomo Albi, Young-Pil Choi and Axel-Stefan Häck
Mathematical Models and Methods in Applied Sciences 28 (09) 1635 (2018)
DOI: 10.1142/S0218202518400018
See this article

On “discontinuous” continuity equation and impulsive ensemble control

Maxim Staritsyn
Systems & Control Letters 118 77 (2018)
DOI: 10.1016/j.sysconle.2018.06.001
See this article

Leader formation with mean-field birth and death models

Giacomo Albi, Mattia Bongini, Francesco Rossi and Francesco Solombrino
Mathematical Models and Methods in Applied Sciences 29 (04) 633 (2019)
DOI: 10.1142/S0218202519400025
See this article

Sparse control of alignment models in high dimension

Benjamin Scharf, Oliver Junge, Massimo Fornasier and Mattia Bongini
Networks and Heterogeneous Media 10 (3) 647 (2015)
DOI: 10.3934/nhm.2015.10.647
See this article

Mean--field control and Riccati equations

Sonja Steffensen, Lorenzo Pareschi and Michael Herty
Networks and Heterogeneous Media 10 (3) 699 (2015)
DOI: 10.3934/nhm.2015.10.699
See this article

Active Particles, Volume 1

Giacomo Albi, Lorenzo Pareschi, Giuseppe Toscani and Mattia Zanella
Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 1 49 (2017)
DOI: 10.1007/978-3-319-49996-3_2
See this article

Performance bounds for the mean-field limit of constrained dynamics

Mattia Zanella and Michael Herty
Discrete and Continuous Dynamical Systems 37 (4) 2023 (2016)
DOI: 10.3934/dcds.2017086
See this article

Invisible Control of Self-Organizing Agents Leaving Unknown Environments

Giacomo Albi, Mattia Bongini, Emiliano Cristiani and Dante Kalise
SIAM Journal on Applied Mathematics 76 (4) 1683 (2016)
DOI: 10.1137/15M1017016
See this article

Active Particles, Volume 2

Michael Herty, Lorenzo Pareschi and Sonja Steffensen
Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 2 149 (2019)
DOI: 10.1007/978-3-030-20297-2_5
See this article

Mean-Field-Type Games in Engineering

Boualem Djehiche, Alain Tcheukam and Hamidou Tembine
AIMS Electronics and Electrical Engineering 1 (1) 18 (2017)
DOI: 10.3934/ElectrEng.2017.1.18
See this article

Active Particles, Volume 1

Aylin Aydoğdu, Marco Caponigro, Sean McQuade, et al.
Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 1 99 (2017)
DOI: 10.1007/978-3-319-49996-3_3
See this article

Limit Theory for Controlled McKean--Vlasov Dynamics

Daniel Lacker
SIAM Journal on Control and Optimization 55 (3) 1641 (2017)
DOI: 10.1137/16M1095895
See this article

Control to Flocking of the Kinetic Cucker--Smale Model

Benedetto Piccoli, Francesco Rossi and Emmanuel Trélat
SIAM Journal on Mathematical Analysis 47 (6) 4685 (2015)
DOI: 10.1137/140996501
See this article

Mean Field Control Hierarchy

Giacomo Albi, Young-Pil Choi, Massimo Fornasier and Dante Kalise
Applied Mathematics & Optimization 76 (1) 93 (2017)
DOI: 10.1007/s00245-017-9429-x
See this article

(Un)conditional consensus emergence under perturbed and decentralized feedback controls

Dante Kalise, Massimo Fornasier and Mattia Bongini
Discrete and Continuous Dynamical Systems 35 (9) 4071 (2015)
DOI: 10.3934/dcds.2015.35.4071
See this article

Optimal control problems in transport dynamics

Mattia Bongini and Giuseppe Buttazzo
Mathematical Models and Methods in Applied Sciences 27 (03) 427 (2017)
DOI: 10.1142/S0218202517500063
See this article

Optimization Problems for Interacting Particle Systems and Corresponding Mean‐field Limits

René Pinnau and Claudia Totzeck
PAMM 19 (1) (2019)
DOI: 10.1002/pamm.201900148
See this article

Crowd Dynamics, Volume 2

Giacomo Albi, Emiliano Cristiani, Lorenzo Pareschi and Daniele Peri
Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 2 159 (2020)
DOI: 10.1007/978-3-030-50450-2_8
See this article

Crowd Dynamics, Volume 2

M. K. Banda, M. Herty and T. Trimborn
Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 2 133 (2020)
DOI: 10.1007/978-3-030-50450-2_7
See this article

Optimal consensus control of the Cucker-Smale model

Rafael Bailo, Mattia Bongini, José A. Carrillo and Dante Kalise
IFAC-PapersOnLine 51 (13) 1 (2018)
DOI: 10.1016/j.ifacol.2018.07.245
See this article

Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives

G. Albi, N. Bellomo, L. Fermo, et al.
Mathematical Models and Methods in Applied Sciences 29 (10) 1901 (2019)
DOI: 10.1142/S0218202519500374
See this article

Optimization and Applications

Maxim Staritsyn and Nikolay Pogodaev
Communications in Computer and Information Science, Optimization and Applications 974 367 (2019)
DOI: 10.1007/978-3-030-10934-9_26
See this article

Approximate and Exact Controllability of the Continuity Equation with a Localized Vector Field

Michel Duprez, Morgan Morancey and Francesco Rossi
SIAM Journal on Control and Optimization 57 (2) 1284 (2019)
DOI: 10.1137/17M1152917
See this article

Instantaneous control of interacting particle systems in the mean-field limit

Martin Burger, René Pinnau, Claudia Totzeck, Oliver Tse and Andreas Roth
Journal of Computational Physics 405 109181 (2020)
DOI: 10.1016/j.jcp.2019.109181
See this article

A mean-field optimal control formulation of deep learning

Weinan E, Jiequn Han and Qianxiao Li
Research in the Mathematical Sciences 6 (1) (2019)
DOI: 10.1007/s40687-018-0172-y
See this article

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems

Benoît Bonnet
ESAIM: Control, Optimisation and Calculus of Variations 25 52 (2019)
DOI: 10.1051/cocv/2019044
See this article

Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field

Michel Duprez, Morgan Morancey and Francesco Rossi
Journal of Differential Equations 269 (1) 82 (2020)
DOI: 10.1016/j.jde.2019.11.098
See this article

Probabilistic message passing control and FPD based decentralised control for stochastic complex systems

Yuyang Zhou and Randa Herzallah
AIMS Electronics and Electrical Engineering 4 (2) 216 (2020)
DOI: 10.3934/ElectrEng.2020.2.216
See this article

One-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit

Annalisa Cesaroni and Marco Cirant
Nonlinearity 34 (3) 1408 (2021)
DOI: 10.1088/1361-6544/abc795
See this article

Mean-Field of Optimal Control Problems for Hybrid Model of Multilane Traffic

Xiaoqian Gong, Benedetto Piccoli and Giuseppe Visconti
IEEE Control Systems Letters 5 (6) 1964 (2021)
DOI: 10.1109/LCSYS.2020.3046540
See this article

Mean-Field Optimal Control and Optimality Conditions in the Space of Probability Measures

Martin Burger, René Pinnau, Claudia Totzeck and Oliver Tse
SIAM Journal on Control and Optimization 59 (2) 977 (2021)
DOI: 10.1137/19M1249461
See this article

Selective model-predictive control for flocking systems

Giacomo Albi and Lorenzo Pareschi
Communications in Applied and Industrial Mathematics 9 (2) 4 (2018)
DOI: 10.2478/caim-2018-0009
See this article

Adjoint DSMC for nonlinear Boltzmann equation constrained optimization

Russel Caflisch, Denis Silantyev and Yunan Yang
Journal of Computational Physics 439 110404 (2021)
DOI: 10.1016/j.jcp.2021.110404
See this article