On the Generating Functions of Irreversible port-Hamiltonian Systems
Dynamical Systems
2023-03-06 v2
Abstract
We study the geometric structure of the drift dynamics of Irreversible port-Hamiltonian systems. This drift dynamics is defined with respect to a product of quasi-Poisson brackets, reflecting the interconnection structure and the constitutive relations of the irreversible phenomena occuring in the system. We characterize this product of quasi-Poisson brackets using a covariant 4-tensor and an associated function. We derive various conditions for which this 4-tensor and the associated function may be reduced to a product of quasi-Poisson brackets.
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Cite
@article{arxiv.2302.09023,
title = {On the Generating Functions of Irreversible port-Hamiltonian Systems},
author = {Jonas Kirchhoff and Bernhard Maschke},
journal= {arXiv preprint arXiv:2302.09023},
year = {2023}
}
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13 pages