The difference between port-Hamiltonian, passive and positive real descriptor systems
Optimization and Control
2022-11-01 v2 Dynamical Systems
Abstract
The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to the more recently used notion of port-Hamiltonian descriptor systems. It is well-known that port-Hamiltonian systems are passive and that passive systems are positive real. Hence it is studied under which assumptions the converse implications hold. Furthermore, the relationship between passivity, KYP inequalities and a~finite available storage is investigated.
Cite
@article{arxiv.2204.04990,
title = {The difference between port-Hamiltonian, passive and positive real descriptor systems},
author = {Karim Cherifi and Hannes Gernandt and Dorothea Hinsen},
journal= {arXiv preprint arXiv:2204.04990},
year = {2022}
}