Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
arxiv(2024)
摘要
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.
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