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arXiv · 2302.09023

On the Generating Functions of Irreversible port-Hamiltonian Systems

Jonas Kirchhoff·Bernhard Maschke
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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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Jonas Kirchhoff, Bernhard Maschke. 2023-02-17. On the Generating Functions of Irreversible port-Hamiltonian Systems. https://arxiv.org/abs/2302.09023

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