Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Dynamical Systems
2024-02-01 v1
Abstract
This study revisits a recently proposed symmetric port-Hamiltonian single-file model in one dimension. The uniform streaming solutions are stable in the deterministic model. However, the introduction of white noise into the dynamics causes the model to exhibit divergence. In response, we introduce a control term in a port-Hamiltonian framework. Our results show that this control term effectively stabilises the dynamics even in the presence of noise, providing valuable insights for the control of road traffic flows.
Cite
@article{arxiv.2401.17954,
title = {Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems},
author = {Julia Ackermann and Matthias Ehrhardt and Thomas Kruse and Antoine Tordeux},
journal= {arXiv preprint arXiv:2401.17954},
year = {2024}
}