System theory and mechanics

Authors

A. J. van der Schaft

Abstract

This paper discusses a system theoretic approach to mechanics, regarding Hamiltonian systems as conservative “mechanical m-ports”. Recent results in the Hamiltonian realization problem are surveyed, and generalizations are being indicated. The potential use for control purposes of the Hamiltonian structure of nonlinear control systems is exemplified.

Keywords

hamiltonian structure, hamiltonian system, nonlinear control system, symplectic form, symplectic manifold

Citation

• ISBN: 9783540516057
• Publisher: Springer Berlin Heidelberg
• DOI: 10.1007/bfb0008472

BibTeX

@inbook{van_der_Schaft_1989,
  title={{System theory and mechanics}},
  ISBN={9783540467090},
  ISSN={1610-7411},
  DOI={10.1007/bfb0008472},
  booktitle={{Three Decades of Mathematical System Theory}},
  publisher={Springer Berlin Heidelberg},
  author={van der Schaft, A. J.},
  year={1989},
  pages={426--452}
}

Download the bib file

References

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