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Control Signals Syst."],"published-print":{"date-parts":[[2025,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n          <jats:p>The present work is a successor of Ilchmann and Kirchhoff (Math Control Signals Syst 33:359\u2013377, 2021) on generic controllability and of Ilchmann and Kirchhoff (Math Control Signals Syst 35:45\u201376, 2022) on relative generic controllability of linear differential-algebraic equations. We extend the result from general, unstructured differential-algebraic equations to differential-algebraic equations of port-Hamiltonian type. We derive results on relative genericity. These findings are the basis for characterizing relative generic controllability of port-Hamiltonian systems in terms of dimensions. 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