Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction
Analysis of PDEs
2023-08-04 v1 Functional Analysis
Optimization and Control
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.
Keywords
Cite
@article{arxiv.2308.01822,
title = {Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction},
author = {Birgit Jacob and Hans Zwart},
journal= {arXiv preprint arXiv:2308.01822},
year = {2023}
}