2 papers
math.OC2025
Stochastic Passivity in Stochastic Differential Equations: A Port-Hamiltonian Perspective
Julia Ackermann, Thomas Kruse, Stefan Tappe
We extend deterministic port-Hamiltonian systems (PHS) to a stochastic framework by means of stochastic differential equations. As the dissipation inequality plays a crucial role f…
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…