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arXiv · 2609.39948

Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback

Bouchra Elghazi·Birgit Jacob·Christophe Prieur
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Abstract

The input-to-state stability of a class of infinite-dimensional second-order port-Hamiltonian systems on a one-dimensional spatial domain is analyzed under nonlinear dynamic boundary feedback and boundary disturbances. Using energy methods in the port-Hamiltonian framework, we obtain sufficient conditions that guarantee uniform input-to-state stability of the closed-loop system.

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Bouchra Elghazi, Birgit Jacob, Christophe Prieur. 2026-09-30. Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback. https://arxiv.org/abs/2609.39948

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