Recent developments in controlled crowd dynamics

@article{Banda2019RecentDI,
  title={Recent developments in controlled crowd dynamics},
  author={Mapundi K. Banda and Michael Herty and Torsten Trimborn},
  journal={ArXiv},
  year={2019},
  volume={abs/1911.03625}
}
We survey recent results on controlled particle systems. The control aspect introduces new challenges in the discussion of properties and suitable mean field limits. Some of the aspects are highlighted in a detailed discussion of a particular controlled particle dynamics. The applied techniques are shown on this simple problem to illustrate the basic methods. Computational results confirming the theoretical findings are presented and further particle models are discussed. 
2 Citations
Behavioral Human Crowds
TLDR
This chapter provides an introduction to the contents of Bellomo and Gibelli (Crowd dynamics, volume 1 – theory, models, and safety problems) and a general critical analysis on crowd modeling. Expand
Behavioral Human Crowds

References

SHOWING 1-10 OF 102 REFERENCES
Control Strategies for the Dynamics of Large Particle Systems
We survey some recent approaches to control problems for large particle systems. Particle systems are transversal to many applications, ranging from classical physics to social sciences. The temporalExpand
Kinetic description of optimal control problems and applications to opinion consensus
TLDR
A Boltzmann-type equation based on a model predictive control formulation is introduced and the corresponding Fokker-Planck asymptotic limit is derived and explicit expressions of stationary solutions are given. Expand
Collective Motion
TLDR
It is demonstrated both numerically and analytically that even in certain one dimensional self-propelled particle systems an ordered phase exists for finite noise levels. Expand
Mean Field Control Hierarchy
In this paper we model the role of a government of a large population as a mean field optimal control problem. Such control problems are constrained by a PDE of continuity-type, governing theExpand
Performance bounds for the mean-field limit of constrained dynamics
In this work we are interested in the mean-field formulation of kinetic models under control actions where the control is formulated through a model predictive control strategy (MPC) with varyingExpand
Mean field games with nonlinear mobilities in pedestrian dynamics
TLDR
This paper discusses the modeling of the macroscopic optimal control approach and shows how the optimal conditions relate to Hughes model for pedestrian flow and results on the existence and uniqueness of minimizers are provided. Expand
Mean-field control and Riccati equations
TLDR
A control approach for large systems of interacting agents based on the Riccati equation is presented and is compared to the model predictive control approach introduced in [2]. Expand
Particle, kinetic, and hydrodynamic models of swarming
We review the state-of-the-art in the modelling of the aggregation and collective behavior of interacting agents of similar size and body type, typically called swarming. Starting withExpand
Consistent mean field optimality conditions for interacting agent systems
We are interested in the derivation of optimality conditions for controlled interacting agent systems. We establish the relation between mean field optimality conditions and the optimality conditionExpand
Multiscale Modeling of Pedestrian Dynamics
1 An Introduction to the Modeling of Crowd Dynamics.- 2 Problems and Simulations.- 3 Psychological Insights.- 4 An Overview of the Modeling of Crowd Dynamics.- 5 Multiscale Modeling by Time-EvolvingExpand
...
1
2
3
4
5
...