arXiv:2308.01822 Abstract | arXiv Analytics

arXiv:2308.01822 [math.AP]Abstract References Reviews Resources

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

Published 2023-08-03Version 1

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.

Categories: math.AP, math.FA, math.OC

Keywords: infinite-dimensional linear port-hamiltonian systems, introduction, abstract operator theoretic approach, infinite-dimensional port-hamiltonian systems, one-dimensional spatial domainand

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