Stabilization of port-Hamiltonian systems with discontinuous energy densities

Authors

Jochen Schmid

Abstract

We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of bounded variation. In particular, and in contrast to the previously known stabilization results, our result applies to vibrating strings or beams with jumps in their mass density and their modulus of elasticity.

Citation

• Journal: Evolution Equations and Control Theory
• Year: 2022
• Volume: 11
• Issue: 5
• Pages: 1775
• Publisher: American Institute of Mathematical Sciences (AIMS)
• DOI: 10.3934/eect.2021063

BibTeX

@article{Schmid_2022,
  title={{Stabilization of port-Hamiltonian systems with discontinuous energy densities}},
  volume={11},
  ISSN={2163-2480},
  DOI={10.3934/eect.2021063},
  number={5},
  journal={Evolution Equations and Control Theory},
  publisher={American Institute of Mathematical Sciences (AIMS)},
  author={Schmid, Jochen},
  year={2022},
  pages={1775}
}

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