Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems
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.
Keywords
Cite
@article{arxiv.2210.00056,
title = {Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems},
author = {Mikael Kurula},
journal= {arXiv preprint arXiv:2210.00056},
year = {2024}
}
Comments
This is the author's final version. The official publication, with the same content, will be published as a technical note in IEEE Transactions on Automatic Control