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The paper is focused on the geometric numerical integration of port-Hamiltonian problems, via discrete gradient \(\theta \) -methods. The ability of this method to retain inherent dissipativity properties of the exact dynamics is considered, as well as the stability properties of the numerical scheme with respect to a test problem based on a controlled pendulum are treated. The analysis is also equipped by selected numerical experiments.

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Discrete Gradient \(\theta \) -Methods for Port-Hamiltonian Systems

  • 会议论文

  • 发表日期：

    2026年

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  • Raffaele D’Ambrosio,
  • Simone Di Donato

摘要

The paper is focused on the geometric numerical integration of port-Hamiltonian problems, via discrete gradient \(\theta \) -methods. The ability of this method to retain inherent dissipativity properties of the exact dynamics is considered, as well as the stability properties of the numerical scheme with respect to a test problem based on a controlled pendulum are treated. The analysis is also equipped by selected numerical experiments.