Asymptotic stability for a class of boundary control systems with non-linear damping

Authors

Hans Zwart, Hector Ramirez, Yann Le Gorrec

Abstract

The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.

Keywords

Boundary control systems; infinite-dimensional port Hamiltonian systems; asymptotic stability; non-linear control

Citation

• Journal: IFAC-PapersOnLine
• Year: 2016
• Volume: 49
• Issue: 8
• Pages: 304–308
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2016.07.458
• Note: 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2016- Bertinoro, Italy, 13—15 June 2016

BibTeX

@article{Zwart_2016,
  title={{Asymptotic stability for a class of boundary control systems with non-linear damping}},
  volume={49},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2016.07.458},
  number={8},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Zwart, Hans and Ramirez, Hector and Le Gorrec, Yann},
  year={2016},
  pages={304--308}
}

Download the bib file

References

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