Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction

Birgit Jacob; Hans Zwart

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arXiv · 2308.01822

Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction

Birgit Jacob·Hans Zwart

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Abstract

We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domainand we will focus on topics such as Dirac structures, well-posedness, stability and stabilizability, Riesz-bases and dissipativity. We combine the abstract operator theoretic approach with the more physical approach based on Hamiltonians. This enables us to derive easy verifiable conditions for well-posedness and stability.

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Birgit Jacob, Hans Zwart. 2023-08-03. Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction. https://arxiv.org/abs/2308.01822

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