On the Generating Functions of Irreversible port-Hamiltonian Systems

2023/02/17 by Kirchhoff, Jonas, Maschke, Bernhard
#37J39 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.09023

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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• Asymptotic Stability of port-Hamiltonian Systems