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Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
Tensor decomposition methods for high-dimensional Hamilton--Jacobi--Bellman equations
A tensor decomposition approach for the solution of high-dimensional, fully nonlinear
Hamilton--Jacobi--Bellman equations arising in optimal feedback control of nonlinear …
Hamilton--Jacobi--Bellman equations arising in optimal feedback control of nonlinear …
Modelling opinion dynamics under the impact of influencer and media strategies
Digital communication has made the public discourse considerably more complex, and new
actors and strategies have emerged as a result of this seismic shift. Aside from the often …
actors and strategies have emerged as a result of this seismic shift. Aside from the often …
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 …
Consensus-based optimization on the sphere: Convergence to global minimizers and machine learning
We investigate the implementation of a new stochastic Kuramoto-Vicsek-type model for
global optimization of nonconvex functions on the sphere. This model belongs to the class of …
global optimization of nonconvex functions on the sphere. This model belongs to the class of …
Proximal methods for stationary mean field games with local couplings
We address the numerical approximation of mean field games with local couplings. For
power-like Hamiltonians, we consider a stationary system and also a system involving …
power-like Hamiltonians, we consider a stationary system and also a system involving …
A collisionless singular Cucker--Smale model with decentralized formation control
We address the design of decentralized feedback control laws inducing consensus and
prescribed spatial patterns over a singular interacting particle system of Cucker--Smale type …
prescribed spatial patterns over a singular interacting particle system of Cucker--Smale type …
Breaking consensus in kinetic opinion formation models on graphons
In this work, we propose and investigate a strategy to prevent consensus in kinetic models
for opinion formation. We consider a large interacting agent system and assume that agent …
for opinion formation. We consider a large interacting agent system and assume that agent …
Mean-field optimal control as gamma-limit of finite agent controls
This paper focuses on the role of a government of a large population of interacting agents as
a meanfield optimal control problem derived from deterministic finite agent dynamics. The …
a meanfield optimal control problem derived from deterministic finite agent dynamics. The …
Optimal feedback law recovery by gradient-augmented sparse polynomial regression
A sparse regression approach for the computation of high-dimensional optimal feedback
laws arising in deterministic nonlinear control is proposed. The approach exploits the control …
laws arising in deterministic nonlinear control is proposed. The approach exploits the control …