Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems
Optimization and Control
2024-12-24 v1
Abstract
The relationship between different dissipativity concepts for linear time-varying systems is studied, in particular between port-Hamiltonian systems, passive systems, and systems with nonnegative supply. It is shown that linear time-varying port-Hamiltonian systems are passive, have nonnegative supply rates, and solve (under different smoothness assumptions) Kalman-Yakubovich-Popov differential and integral inequalities. The converse relations are also studied in detail. In particular, sufficient conditions are presented to obtain a port-Hamiltonian representation starting from any of the other dissipativity concepts. Two applications are presented.
Cite
@article{arxiv.2412.16396,
title = {Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems},
author = {Karim Cherifi and Hannes Gernandt and Dorothea Hinsen and Volker Mehrmann and Riccardo Morandin},
journal= {arXiv preprint arXiv:2412.16396},
year = {2024}
}