On Exact Controllability of Infinite-Dimensional Linear Port-Hamiltonian Systems

Authors

Birgit Jacob, Julia T. Kaiser

Abstract

Infinite-dimensional linear port-Hamiltonian systems on a 1-D spatial domain with full boundary control and without internal damping are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of nonhomogeneous transmission lines. The main result shows that well-posed port-Hamiltonian systems, with state space \( L^{2}{(}{(}0{,}1{)}{;}~\mathbb C^{n}{)} \) and input space \( \mathbb C^{n} \), are exactly controllable.

Citation

• Journal: IEEE Control Systems Letters
• Year: 2019
• Volume: 3
• Issue: 3
• Pages: 661–666
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/lcsys.2019.2916814

BibTeX

@article{Jacob_2019,
  title={{On Exact Controllability of Infinite-Dimensional Linear Port-Hamiltonian Systems}},
  volume={3},
  ISSN={2475-1456},
  DOI={10.1109/lcsys.2019.2916814},
  number={3},
  journal={IEEE Control Systems Letters},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Jacob, Birgit and Kaiser, Julia T.},
  year={2019},
  pages={661--666}
}

Download the bib file

References

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