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Learning Swarm Interaction Dynamics From Density Evolution
Christos N. Mavridis, Amoolya Tirumalai and John S. Baras IEEE Transactions on Control of Network Systems 10(1) 214 (2023) https://doi.org/10.1109/TCNS.2022.3198784
Crowd Dynamics: Modeling and Control of Multiagent Systems
Moment-Driven Predictive Control of Mean-Field Collective Dynamics
Giacomo Albi, Michael Herty, Dante Kalise and Chiara Segala SIAM Journal on Control and Optimization 60(2) 814 (2022) https://doi.org/10.1137/21M1391559
Linear-Quadratic Problems of Optimal Control in the Space of Probabilities
Randa Herzallah, David Lowe and Yazan Qarout IEEE Transactions on Systems, Man, and Cybernetics: Systems 52(7) 4470 (2022) https://doi.org/10.1109/TSMC.2021.3096133
Proceedings of 2021 International Conference on Autonomous Unmanned Systems (ICAUS 2021)
Huageng Liu and Donghua Shi Lecture Notes in Electrical Engineering, Proceedings of 2021 International Conference on Autonomous Unmanned Systems (ICAUS 2021) 861 2066 (2022) https://doi.org/10.1007/978-981-16-9492-9_204
Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: Equivalence and Gamma-convergence
Giacomo Albi, Federica Ferrarese and Chiara Segala Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 3 97 (2021) https://doi.org/10.1007/978-3-030-91646-6_5
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces
M. K. Banda, M. Herty and T. Trimborn Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 2 133 (2020) https://doi.org/10.1007/978-3-030-50450-2_7
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) https://doi.org/10.1016/j.jcp.2019.109181
Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field
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) https://doi.org/10.1007/s00526-020-1718-6
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) https://doi.org/10.1007/978-3-030-50450-2_8
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) https://doi.org/10.1142/S0218202519400025
Optimization Problems for Interacting Particle Systems and Corresponding Mean‐field Limits
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) https://doi.org/10.1137/17M1152917
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) https://doi.org/10.1137/18M1168911
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
G. Albi, N. Bellomo, L. Fermo, S.-Y. Ha, J. Kim, L. Pareschi, D. Poyato and J. Soler Mathematical Models and Methods in Applied Sciences 29(10) 1901 (2019) https://doi.org/10.1142/S0218202519500374
A mean-field optimal control formulation of deep learning
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) https://doi.org/10.1007/978-3-319-56436-4_1
Selective model-predictive control for flocking systems
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) https://doi.org/10.1007/978-3-319-56436-4_5
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) https://doi.org/10.1007/978-3-319-56436-4_2
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) https://doi.org/10.1007/978-3-319-56436-4_6
On “discontinuous” continuity equation and impulsive ensemble control
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) https://doi.org/10.1007/978-3-319-56436-4_7
Probabilistic Theory of Mean Field Games with Applications II
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) https://doi.org/10.1007/978-3-319-56436-4_3
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) 1563 (2018) https://doi.org/10.1109/TAC.2017.2747769
Aylin Aydoğdu, Marco Caponigro, Sean McQuade, et al. Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 1 99 (2017) https://doi.org/10.1007/978-3-319-49996-3_3
Limit Theory for Controlled McKean--Vlasov Dynamics
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) https://doi.org/10.1142/S0218202517500208
Mean-Field Pontryagin Maximum Principle
Mattia Bongini, Massimo Fornasier, Francesco Rossi and Francesco Solombrino Journal of Optimization Theory and Applications 175(1) 1 (2017) https://doi.org/10.1007/s10957-017-1149-5
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) https://doi.org/10.1007/978-3-319-49996-3_2
A Boltzmann approach to mean-field sparse feedback control