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arXiv · 1810.10271

Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems

Björn Augner·Hafida Laasri
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Abstract

We study the non-autonomous version of an infinite-dimensional port-Hamiltonian system on an interval $[a, b]$. Employing abstract results on evolution families, we show $C^1$-well-posedness of the corresponding Cauchy problem, and thereby existence and uniqueness of classical solutions for sufficiently regular initial data. Further, we demonstrate that a dissipation condition in the style of the dissipation condition sufficient for uniform exponential stability in the autonomous case also leads to a uniform exponential decay of the energy in this non-autonomous setting.

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Björn Augner, Hafida Laasri. 2018-10-24. Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems. https://arxiv.org/abs/1810.10271

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