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}
}

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References

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