Infinite-dimensional port-Hamiltonian systems -- a system node approach
Analysis of PDEs
2023-02-13 v1 Dynamical Systems
Functional Analysis
Optimization and Control
Abstract
We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes by Staffans to formulate a~suitable concept for port-Hamiltonian systems, which allows a unifying approach to systems with boundary as well as distributed control and observation. The concept presented in this article is further neither limited to parabolic nor hyperbolic systems, and it also covers partial differential equations on multi-dimensional spatial domains. Our presented theory is substantiated by means of several physical examples.
Cite
@article{arxiv.2302.05168,
title = {Infinite-dimensional port-Hamiltonian systems -- a system node approach},
author = {Friedrich Philipp and Timo Reis and Manuel Schaller},
journal= {arXiv preprint arXiv:2302.05168},
year = {2023}
}