Well-posedness and stability for interconnection structures of port-Hamiltonian type
Authors
Abstract
We consider networks of infinite-dimensional port-Hamiltonian systems \( \) \mathfrak{S} S_i \( \) on 1D spatial domains. These subsystems of port-Hamiltonian type are interconnected via boundary control and observation and are allowed to be of distinct port-Hamiltonian orders \( \) \mathit N_i \in \mathbb N \( \) . Well-posedness and stability results for port-Hamiltonian systems of fixed order \( \) \mathit N \in \mathbb N \( \) are thereby generalised to networks of such. The theory is applied to some particular model examples.
Keywords
Primary: 93D15; 35B35. Secondary: 35G46; 37L15; 47B44; 47D06; Infinite-dimensional port-Hamiltonian systems; networks of PDE; feedback interconnection; contraction semigroups; stability analysis
Citation
- ISBN: 9783030358976
- Publisher: Springer International Publishing
- DOI: 10.1007/978-3-030-35898-3_1
BibTeX
@inbook{Augner_2020,
title={{Well-posedness and stability for interconnection structures of port-Hamiltonian type}},
ISBN={9783030358983},
ISSN={2296-4878},
DOI={10.1007/978-3-030-35898-3_1},
booktitle={{Control Theory of Infinite-Dimensional Systems}},
publisher={Springer International Publishing},
author={Augner, Björn},
year={2020},
pages={1--52}
}