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arXiv · 2509.02715

Regularization of Port-Hamiltonian Descriptor Systems

Delin Chu·Volker Mehrmann
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Abstract

We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one, and is still port-Hamiltonian with desired rank properties. All results are derived based on condensed forms, computations of these condensed form can be implemented using only orthogonal transformations and hence are numerically reliable.

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Delin Chu, Volker Mehrmann. 2025-09-02. Regularization of Port-Hamiltonian Descriptor Systems. https://arxiv.org/abs/2509.02715

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