Crowd dynamics: Modeling and control of multiagent systems
This review aims to present recent developments in modeling and control of multiagent
systems. A particular focus is set on crowd dynamics characterized by complex interactions …
systems. A particular focus is set on crowd dynamics characterized by complex interactions …
Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework
B Bonnet, H Frankowska - Journal of Differential Equations, 2021 - Elsevier
In this article, we propose a general framework for the study of differential inclusions in the
Wasserstein space of probability measures. Based on earlier geometric insights on the …
Wasserstein space of probability measures. Based on earlier geometric insights on the …
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics
M Aduamoah, BD Goddard, JW Pearson… - BIT Numerical …, 2022 - Springer
We derive novel algorithms for optimization problems constrained by partial differential
equations describing multiscale particle dynamics, including non-local integral terms …
equations describing multiscale particle dynamics, including non-local integral terms …
Consensus-based optimization for multi-objective problems: a multi-swarm approach
We propose a multi-swarm approach to approximate the Pareto front of general multi-
objective optimization problems that is based on the consensus-based optimization method …
objective optimization problems that is based on the consensus-based optimization method …
Moment-driven predictive control of mean-field collective dynamics
The synthesis of control laws for interacting agent-based dynamics and their mean-field limit
is studied. A linearization-based approach is used for the computation of suboptimal …
is studied. A linearization-based approach is used for the computation of suboptimal …
On the viability and invariance of proper sets under continuity inclusions in wasserstein spaces
B Bonnet-Weill, H Frankowska - SIAM Journal on Mathematical Analysis, 2024 - SIAM
In this article, we derive conditions for the existence of solutions to state-constrained
continuity inclusions in Wasserstein spaces whose right-hand sides may be discontinuous in …
continuity inclusions in Wasserstein spaces whose right-hand sides may be discontinuous in …
Mean-field sparse optimal control of systems with additive white noise
We analyze the problem of controlling a multiagent system with additive white noise through
parsimonious interventions on a selected subset of the agents (leaders). For such a …
parsimonious interventions on a selected subset of the agents (leaders). For such a …
Semiconcavity and sensitivity analysis in mean-field optimal control and applications
B Bonnet, H Frankowska - Journal de Mathématiques Pures et Appliquées, 2022 - Elsevier
In this article, we investigate some of the fine properties of the value function associated with
an optimal control problem in the Wasserstein space of probability measures. Building on …
an optimal control problem in the Wasserstein space of probability measures. Building on …
An anisotropic interaction model with collision avoidance
C Totzeck - arXiv preprint arXiv:1912.04234, 2019 - arxiv.org
In this article an anisotropic interaction model avoiding collisions is proposed. Starting point
is a general isotropic interacting particle system, as used for swarming or follower-leader …
is a general isotropic interacting particle system, as used for swarming or follower-leader …
[HTML][HTML] Optimal control problems in transport dynamics with additive noise
Motivated by the applications in leader-follower multi-agent dynamics, a class of optimal
control problems is investigated, where the goal is to influence the behavior of a given …
control problems is investigated, where the goal is to influence the behavior of a given …