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math.DS2025
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…
math.DS2024
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…