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A novel energy-based modeling framework

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arxiv 2406.12391 v3 pith:OOEFROMH submitted 2024-06-18 math.NA cs.NA

R. Altmann , P. Schulze This is my paper · ORCID
classification math.NAcs.NA
keywords energy-basedframeworkmodelpropertiesalternativeapplicationbesidesconstrained
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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.

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  1. Stokes-Lagrange and Stokes-Dirac representations of $N$-dimensional port-Hamiltonian systems for modelling and control

    math.OC 2024-12 conditional novelty 6.0 of 10

    Defines Stokes-Lagrange structures for N-dimensional port-Hamiltonian systems, showing that Stokes-Dirac and Stokes-Lagrange representations are equivalent and useful for control design.

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