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arXiv · 2211.10687

Towards a modeling class for port-Hamiltonian systems with time-delay

Tobias Breiten·Dorothea Hinsen·Benjamin Unger
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Abstract

The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this paper, 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.

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Tobias Breiten, Dorothea Hinsen, Benjamin Unger. 2022-11-19. Towards a modeling class for port-Hamiltonian systems with time-delay. https://arxiv.org/abs/2211.10687

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