A Structural Observation on port-Hamiltonian Systems
Functional Analysis
2021-06-22 v1 Classical Analysis and ODEs
Optimization and Control
Abstract
We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to -accretive realisations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are based on a structural observation that the port-Hamiltonian operator can be transformed to the derivative on a familiy of reference intervals by suitable congruence relations allowing for studying the simpler case of a transport equation. Moreover, we provide well-posedness results for associated control problems without assuming any additional regularity of the operators involved.
Cite
@article{arxiv.2106.10937,
title = {A Structural Observation on port-Hamiltonian Systems},
author = {Rainer Picard and Sascha Trostorff and Bruce Watson and Marcus Waurick},
journal= {arXiv preprint arXiv:2106.10937},
year = {2021}
}