67 citations · 223 across the 31 of their papers we have counts for
4 papers · 1 filter
Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems
Julia Ackermann, Matthias Ehrhardt, Thomas Kruse +1
In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behav…
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Julia Ackermann, Matthias Ehrhardt, Thomas Kruse +1
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. Howeve…
The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension
Matthias Ehrhardt, Thomas Kruse, Antoine Tordeux
The collective motion of self-driven agents is a phenomenon of great interest in interacting particle systems. In this paper, we develop and analyze a model of agent motion in one…
Stability analysis of a stochastic port-Hamiltonian car-following model
Barbara Rüdiger, Antoine Tordeux, Baris Ugurcan
Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following model…