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arXiv · 2608.31092

Interpolation Conditions for Instant Data Consistency with Port-Hamiltonian Structure

Martina Vanelli·Nima Monshizadeh·Julien M. Hendrickx
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Abstract

We develop a data-driven framework for nonlinear port-Hamiltonian (pH) systems based on interpolation conditions to characterize consistency between observed data and structured dynamical models. Specifically, we derive necessary and sufficient conditions for the existence of a pH system with a smooth (convex) Hamiltonian instantly consistent with a given dataset, without requiring explicit parametrization. We further provide a semidefinite programming formulation to verify consistency with non-degenerate interconnection and dissipation structures. Our results provide a principled approach to assess instant data consistency with physical structure and pave the way for control design directly from data.

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Martina Vanelli, Nima Monshizadeh, Julien M. Hendrickx. 2026-08-31. Interpolation Conditions for Instant Data Consistency with Port-Hamiltonian Structure. https://arxiv.org/abs/2608.31092

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