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arXiv · 2106.10937

A Structural Observation on port-Hamiltonian Systems

Rainer Picard·Sascha Trostorff·Bruce Watson·Marcus Waurick
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Abstract

We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to $m$-accretive realisations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are based on a structural observation that the port-Hamiltonian operator can be transformed to the derivative on a familiy of reference intervals by suitable congruence relations allowing for studying the simpler case of a transport equation. Moreover, we provide well-posedness results for associated control problems without assuming any additional regularity of the operators involved.

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BibTeXRIS

Rainer Picard, Sascha Trostorff, Bruce Watson, Marcus Waurick. 2021-06-21. A Structural Observation on port-Hamiltonian Systems. https://arxiv.org/abs/2106.10937

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