About the Definition of Port Variables for Contact Hamiltonian Systems

Authors

Abstract

Extending the formulation of reversible thermodynamical transformations to the formulation of irreversible transformations of open thermodynamical systems different classes of nonlinear control systems has been defined in terms of control Hamiltonian systems defined on a contact manifold. In this paper we discuss the relation between the definition of variational control contact systems and the input-output contact systems. We have first given an expression of the variational control contact systems in terms of a nonlinear control systems. Secondly we have shown that the conservative input-output contact systems are a subclass of the contact variational systems with integrable output dynamics.

Keywords

Open irreversible thermodynamic systems; Nonlinear control systems; Hamiltonian systems on contact manifolds

Citation

ISBN: 9783319684444
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-68445-1_49
Note: International Conference on Geometric Science of Information

BibTeX

@inbook{Maschke_2017,
  title={{About the Definition of Port Variables for Contact Hamiltonian Systems}},
  ISBN={9783319684451},
  ISSN={1611-3349},
  DOI={10.1007/978-3-319-68445-1_49},
  booktitle={{Geometric Science of Information}},
  publisher={Springer International Publishing},
  author={Maschke, Bernhard and van der Schaft, Arjan},
  year={2017},
  pages={418--424}
}

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References

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