Authors

Björn Augner, Hafida Laasri

Abstract

We study the non-autonomous version of an infinite-dimensional linear 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 rate of the energy in this non-autonomous setting.

Keywords

Infinite-dimensional port-Hamiltonian system; Non-autonomous Cauchy problem; Evolution family; Well-posedness; Uniform exponential stability

Citation

BibTeX

@article{Augner_2020,
  title={{Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems}},
  volume={144},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2020.104757},
  journal={Systems & Control Letters},
  publisher={Elsevier BV},
  author={Augner, Björn and Laasri, Hafida},
  year={2020},
  pages={104757}
}

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References