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 abstract theory is applied to some particular model examples.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Augner, B. (2020). Well-posedness and stability for interconnection structures of port-Hamiltonian type. In: Kerner, J., Laasri, H., Mugnolo, D. (eds) Control Theory of Infinite-Dimensional Systems. Operator Theory: Advances and Applications(), vol 277. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-35898-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-35898-3_1
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-35897-6
Online ISBN: 978-3-030-35898-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)