Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems

2024/01/31 by Julia Ackermann, Ackermann, Julia, Matthias Ehrhardt +5 · 1 citation
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.48550/arxiv.2401.17954

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.

Cited by

• Stochastic Passivity in Stochastic Differential Equations: A Port-Hamiltonian Perspective

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