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<p>We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model generalizes classical port-Hamiltonian input–state–output systems and exhibits similar properties such as energy dissipation as well as structure-preserving interconnection and Petrov–Galerkin projection. In terms of time discretization, the midpoint rule and discrete gradient methods are dissipation-preserving. Besides the verification of these properties, we present ten examples from different fields of application illustrating the great flexibility of the proposed framework.</p>

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A novel energy-based modeling framework

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月4日

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  • R. Altmann,
  • P. Schulze

摘要

We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model generalizes classical port-Hamiltonian input–state–output systems and exhibits similar properties such as energy dissipation as well as structure-preserving interconnection and Petrov–Galerkin projection. In terms of time discretization, the midpoint rule and discrete gradient methods are dissipation-preserving. Besides the verification of these properties, we present ten examples from different fields of application illustrating the great flexibility of the proposed framework.