Linear port-Hamiltonian systems are generically controllable
Dynamical Systems
2021-04-07 v1
Abstract
The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems. This implies that a random, continuously distributed port-Hamiltonian system is almost surely controllable.
Cite
@article{arxiv.2104.02111,
title = {Linear port-Hamiltonian systems are generically controllable},
author = {Jonas Kirchhoff},
journal= {arXiv preprint arXiv:2104.02111},
year = {2021}
}