Toward a Class of Port-Hamiltonian Systems With Time-Delays
Authors
Tobias Breiten, Dorothea Hinsen, Benjamin Unger
Abstract
The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this article, we extend the scope of pH systems to time-delay systems. Our definition of a delay pH system is motivated by investigating the Kalman–Yakubovich–Popov inequality on the corresponding infinite-dimensional operator equation. Moreover, we show that delay pH systems are passive and closed under interconnection. We describe an explicit way to construct a Lyapunov–Krasovskii functional and discuss implications for delayed feedback.
Citation
- Journal: IEEE Transactions on Automatic Control
- Year: 2024
- Volume: 69
- Issue: 12
- Pages: 8924–8930
- Publisher: Institute of Electrical and Electronics Engineers (IEEE)
- DOI: 10.1109/tac.2024.3464332
BibTeX
@article{Breiten_2024,
title={{Toward a Class of Port-Hamiltonian Systems With Time-Delays}},
volume={69},
ISSN={2334-3303},
DOI={10.1109/tac.2024.3464332},
number={12},
journal={IEEE Transactions on Automatic Control},
publisher={Institute of Electrical and Electronics Engineers (IEEE)},
author={Breiten, Tobias and Hinsen, Dorothea and Unger, Benjamin},
year={2024},
pages={8924--8930}
}References
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