A novel energy-based modeling framework

Authors

R. Altmann, P. Schulze

Abstract

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.

Keywords

Energy-based modeling; Dissipation; Structure preservation; 37J06; 65P10; 65M60

Citation

• Journal: Mathematics of Control, Signals, and Systems
• Year: 2025
• Volume:
• Issue:
• Pages:
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s00498-024-00405-5

BibTeX

@article{Altmann_2025,
  title={{A novel energy-based modeling framework}},
  ISSN={1435-568X},
  DOI={10.1007/s00498-024-00405-5},
  journal={Mathematics of Control, Signals, and Systems},
  publisher={Springer Science and Business Media LLC},
  author={Altmann, R. and Schulze, P.},
  year={2025}
}

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References

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