Stability and passivity for a class of distributed port-Hamiltonian networks

Hannes Gernandt; Dorothea Hinsen

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arXiv · 2212.02792

Stability and passivity for a class of distributed port-Hamiltonian networks

Hannes Gernandt·Dorothea Hinsen

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Abstract

We consider a class of infinite dimensional (distributed) pH systems which is invariant under Kirchhoff-type interconnections and prove exponential stability and a power balance equation for classical solutions. The results are illustrated for power networks that incorporate distributed transmission line models based on the telegraph equations.

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Hannes Gernandt, Dorothea Hinsen. 2023-11-07. Stability and passivity for a class of distributed port-Hamiltonian networks. https://arxiv.org/abs/2212.02792

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