Authors

Jesús Clemente-Gallardo, Bernhard M. Maschke, Arjan J. Schaft

Abstract

In 1994, van der Schaft and Maschke defined a(n) (almost) Poisson structure for the study of constrained port controlled Hamiltonian systems as systems obtained by reduction. This note intends to provide a geometrical framework that justifies such construction, based on the use of Lie algebroids, and which extends the work presented in [ 3 ].

Keywords

cotangent bundle, hamiltonian system, poisson manifold, poisson structure, tangent bundle

Citation

BibTeX

@inbook{Clemente_Gallardo,
  title={{On Constrained Dynamical Systems and Algebroids}},
  ISBN={9783540428909},
  DOI={10.1007/3-540-45606-6_14},
  booktitle={{Dynamics, Bifurcations, and Control}},
  publisher={Springer Berlin Heidelberg},
  author={Clemente-Gallardo, Jesús and Maschke, Bernhard M. and Schaft, Arjan J.},
  pages={203--216}
}

Download the bib file

References

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