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 …
Review of pedestrian trajectory prediction methods: Comparing deep learning and knowledge-based approaches
R Korbmacher, A Tordeux - IEEE Transactions on Intelligent …, 2022 - ieeexplore.ieee.org
In crowd scenarios, predicting trajectories of pedestrians is a complex and challenging task
depending on many external factors. The topology of the scene and the interactions …
depending on many external factors. The topology of the scene and the interactions …
{Euclidean, metric, and Wasserstein} gradient flows: an overview
F Santambrogio - Bulletin of Mathematical Sciences, 2017 - Springer
This is an expository paper on the theory of gradient flows, and in particular of those PDEs
which can be interpreted as gradient flows for the Wasserstein metric on the space of …
which can be interpreted as gradient flows for the Wasserstein metric on the space of …
[图书][B] Nonsmooth mechanics
B Brogliato, B Brogliato - 1999 - Springer
Thank you for opening the third edition of this monograph. The first edition [202] was
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …
Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability
B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
Towards a mathematical theory of behavioral human crowds
The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …
applications of the dynamics of human crowds, where the specific features of living systems …
[PDF][PDF] Human behavioral crowds review, critical analysis and research perspectives
1612 N. Bellomo et al. the modeling of traffic and crowds: A survey of models, speculations,
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …
Handling congestion in crowd motion modeling
B Maury, A Roudneff-Chupin, F Santambrogio… - arXiv preprint arXiv …, 2011 - arxiv.org
We address here the issue of congestion in the modeling of crowd motion, in the non-
smooth framework: contacts between people are not anticipated and avoided, they actually …
smooth framework: contacts between people are not anticipated and avoided, they actually …
Optimal control of a nonconvex perturbed sweeping process
TH Cao, BS Mordukhovich - Journal of Differential Equations, 2019 - Elsevier
The paper concerns optimal control of discontinuous differential inclusions of the normal
cone type governed by a generalized version of the Moreau sweeping process with control …
cone type governed by a generalized version of the Moreau sweeping process with control …
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 …