Volume 65, pp. 254-270, 2026.

Regularization of port-Hamiltonian descriptor systems

Delin Chu and Volker Mehrmann

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 that may be computed numerically reliably using orthogonal transformations.

Full Text (PDF) [257 KB], BibTeX , DOI: 10.1553/etna_vol65s254

Key words

Port-Hamiltonian descriptor system, output feedback, structure-preserving regularization, index reduction

AMS subject classifications

93B05, 93B40, 93B52, 65F35