Port-Hamiltonian Dynamics on Graphs: Consensus and Coordination Control Algorithms

Authors

A.J. van der Schaft, B.M. Maschke

Abstract

Directed graphs are shown to be endowed with a canonical Dirac structure, which is used for formulating standard consensus and coordination control algorithms as port-Hamiltonian systems.

Keywords

Directed graphs; Dirac structure; port-Hamiltonian systems; Laplacian matrix; consensus algorithms; coordination control

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2010
• Volume: 43
• Issue: 19
• Pages: 175–178
• Publisher: Elsevier BV
• DOI: 10.3182/20100913-2-fr-4014.00012
• Note: 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems

BibTeX

@article{van_der_Schaft_2010,
  title={{Port-Hamiltonian Dynamics on Graphs: Consensus and Coordination Control Algorithms}},
  volume={43},
  ISSN={1474-6670},
  DOI={10.3182/20100913-2-fr-4014.00012},
  number={19},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={van der Schaft, A.J. and Maschke, B.M.},
  year={2010},
  pages={175--178}
}

Download the bib file

References

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