Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable
Optimization and Control
2023-03-06 v2 Dynamical Systems
Abstract
The present work is a successor of [Ilchmann, Kirchhoff 2022] on generic controllability and of [Ilchmann, Kirchhoff 2023] on relative generic controllability of linear differential-algebraic equations. We extend the result from general, unstructured differential-algebraic equations to differential-algebraic equations of port-Hamiltonian type. We derive new results on relative genericity. These findings are the basis for characterizing relative generic controllability of port-Hamiltonian systems in terms of dimensions. A similar result is proved for relative generic stabilizability.
Cite
@article{arxiv.2302.05156,
title = {Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable},
author = {Achim Ilchmann and Jonas Kirchhoff and Manuel Schaller},
journal= {arXiv preprint arXiv:2302.05156},
year = {2023}
}
Comments
35 pages