Stability and passivity for a class of distributed port-Hamiltonian networks
Optimization and Control
2023-11-08 v2 Dynamical Systems
Functional Analysis
Abstract
We consider a class of infinite dimensional (distributed) pH systems which is invariant under Kirchhoff-type interconnections and prove exponential stability and a power balance equation for classical solutions. The results are illustrated for power networks that incorporate distributed transmission line models based on the telegraph equations.
Keywords
Cite
@article{arxiv.2212.02792,
title = {Stability and passivity for a class of distributed port-Hamiltonian networks},
author = {Hannes Gernandt and Dorothea Hinsen},
journal= {arXiv preprint arXiv:2212.02792},
year = {2023}
}