A novel energy-based modeling framework
Numerical Analysis
2024-12-10 v3 Numerical Analysis
Abstract
We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework 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.
Cite
@article{arxiv.2406.12391,
title = {A novel energy-based modeling framework},
author = {R. Altmann and P. Schulze},
journal= {arXiv preprint arXiv:2406.12391},
year = {2024}
}