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The collective dynamics of a stochastic Port-Hamiltonian self-driven agent model in one dimension
Matthias Ehrhardt, Thomas Kruse and Antoine Tordeux ESAIM: Mathematical Modelling and Numerical Analysis 58(2) 515 (2024) https://doi.org/10.1051/m2an/2024004
Crowd Dynamics: Modeling and Control of Multiagent Systems
A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set
Maria do Rosário de Pinho, Maria Margarida A. Ferreira and Georgi Smirnov Journal of Optimization Theory and Applications 199(1) 273 (2023) https://doi.org/10.1007/s10957-023-02283-4
Control of multi-agent systems: Results, open problems, and applications
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
Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
Particle Dynamics Subject to Impenetrable Boundaries: Existence and Uniqueness of Mild Solutions
Masato Kimura, Patrick van Meurs and Zhenxing Yang SIAM Journal on Mathematical Analysis 51(6) 5049 (2019) https://doi.org/10.1137/18M1235922
Generalized collision-free velocity model for pedestrian dynamics
Qiancheng Xu, Mohcine Chraibi, Antoine Tordeux and Jun Zhang Physica A: Statistical Mechanics and its Applications 535 122521 (2019) https://doi.org/10.1016/j.physa.2019.122521
The Pontryagin Maximum Principle in the Wasserstein Space
Andreas Schadschneider, Mohcine Chraibi, Armin Seyfried, Antoine Tordeux and Jun Zhang Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 1 63 (2018) https://doi.org/10.1007/978-3-030-05129-7_4
From short-range repulsion to Hele-Shaw problem in a model of tumor growth
Benedetto Piccoli and Francesco Rossi Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 1 137 (2018) https://doi.org/10.1007/978-3-030-05129-7_6
A Time-continuous Compartment Model for Building Evacuation
Nicola Bellomo and Livio Gibelli Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 1 1 (2018) https://doi.org/10.1007/978-3-030-05129-7_1
Collisions Engineering: Theory and Applications
Pierre Argoul and Bachar Kabalan Springer Series in Solid and Structural Mechanics, Collisions Engineering: Theory and Applications 6 79 (2017) https://doi.org/10.1007/978-3-662-52696-5_6
{Euclidean, metric, and Wasserstein} gradient flows: an overview
Filippo Santambrogio Progress in Nonlinear Differential Equations and Their Applications, Optimal Transport for Applied Mathematicians 87 285 (2015) https://doi.org/10.1007/978-3-319-20828-2_8
Optimal Transport for Applied Mathematicians
Filippo Santambrogio Progress in Nonlinear Differential Equations and Their Applications, Optimal Transport for Applied Mathematicians 87 249 (2015) https://doi.org/10.1007/978-3-319-20828-2_7
Optimal Transport for Applied Mathematicians
Filippo Santambrogio Progress in Nonlinear Differential Equations and Their Applications, Optimal Transport for Applied Mathematicians 87 219 (2015) https://doi.org/10.1007/978-3-319-20828-2_6
Stability and Observer Design for Lur'e Systems with Multivalued, Nonmonotone, Time-Varying Nonlinearities and State Jumps
Aneel Tanwani, Bernard Brogliato and Christophe Prieur SIAM Journal on Control and Optimization 52(6) 3639 (2014) https://doi.org/10.1137/120902252
Prediction of pedestrians routes within a built environment in normal conditions