CONSERVATIVE SYSTEMS WITH PORTS ON CONTACT MANIFOLDS

Authors

D. Eberard, B. Maschke, A.J. van der Schaft

Abstract

In this paper we propose an extension of port Hamiltonian systems, called conservative systems with ports, which encompass systems arising from the Irreversible Thermodynamics. Firstly we lift a port Hamiltonian system from its state space manifold to the thermodynamic phase space to a contact vector field with inputs and outputs. Secondly we define a more general class of contact vector field (called conservative system with ports) generated by a function corresponding to the power of a physical system and illustrate it on a simple example of irreversible system.

Keywords

conservative systems, contact forms, irreversible thermodynamics, port hamiltonian systems

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2005
• Volume: 38
• Issue: 1
• Pages: 342–347
• Publisher: Elsevier BV
• DOI: 10.3182/20050703-6-cz-1902.00711
• Note: 16th IFAC World Congress

BibTeX

@article{Eberard_2005,
  title={{CONSERVATIVE SYSTEMS WITH PORTS ON CONTACT MANIFOLDS}},
  volume={38},
  ISSN={1474-6670},
  DOI={10.3182/20050703-6-cz-1902.00711},
  number={1},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Eberard, D. and Maschke, B. and van der Schaft, A.J.},
  year={2005},
  pages={342--347}
}

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