Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems

Mikael Kurula

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arXiv · 2210.00056

Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems

Mikael Kurula

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Abstract

Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and well-posedness of time-varying linear port-Hamil\-to\-nian systems with boundary control and boundary observation. In this paper, we complement their results by discussing the solvability of linear, infinite-dimensional time-varying port-Hamiltonian systems not necessarily of boundary control type. The theory is illustrated on a system with a delay component in the state dynamics.

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Mikael Kurula. 2022-09-30. Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems. https://arxiv.org/abs/2210.00056

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