Towards a modeling class for port-Hamiltonian systems with time-delay
Dynamical Systems
2022-11-22 v1 Systems and Control
Systems and Control
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.
Keywords
Cite
@article{arxiv.2211.10687,
title = {Towards a modeling class for port-Hamiltonian systems with time-delay},
author = {Tobias Breiten and Dorothea Hinsen and Benjamin Unger},
journal= {arXiv preprint arXiv:2211.10687},
year = {2022}
}