Incrementally port-Hamiltonian systems

Authors

M. K. Camlibel, A. J. van der Schaft

Abstract

This paper introduces the new class of incrementally port-Hamiltonian systems. This class can be obtained from standard port-Hamiltonian systems by replacing the composition of the Dirac structure and energy-dissipating relation by a maximal monotone relation. After introducing this new class of systems, we study their compositions and show that incrementally port-Hamiltonian systems are closed under composition. Also, we study existence and uniqueness os state trajectories for such systems as well as an energy-based state re-initialization principle.

Citation

• Journal: 52nd IEEE Conference on Decision and Control
• Year: 2013
• Volume:
• Issue:
• Pages: 2538–2543
• Publisher: IEEE
• DOI: 10.1109/cdc.2013.6760262

BibTeX

@inproceedings{Camlibel_2013,
  title={{Incrementally port-Hamiltonian systems}},
  DOI={10.1109/cdc.2013.6760262},
  booktitle={{52nd IEEE Conference on Decision and Control}},
  publisher={IEEE},
  author={Camlibel, M. K. and van der Schaft, A. J.},
  year={2013},
  pages={2538--2543}
}

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References

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