About Some System-Theoretic Properties of Port-Thermodynamic Systems

Authors

Arjan van der Schaft, Bernhard Maschke

Abstract

Recently a class of Hamiltonian control systems was introduced for geometric modeling of open irreversible thermodynamic processes. These systems are defined as ordinary Hamiltonian input-output systems on a symplectic manifold, with the special property that the Hamiltonian is homogeneous in the generalized momentum variables, and that there is an invariant homogeneous Lagrangian submanifold characterizing the state properties of the thermodynamic system. After recalling the basic framework we study the passivity, controllability and observability properties of such systems.

Keywords

nonlinear control, symplectic geometry, thermodynamic systems

Citation

• ISBN: 9783030269791
• Publisher: Springer International Publishing
• DOI: 10.1007/978-3-030-26980-7_24
• Note: International Conference on Geometric Science of Information

BibTeX

@inbook{van_der_Schaft_2019,
  title={{About Some System-Theoretic Properties of Port-Thermodynamic Systems}},
  ISBN={9783030269807},
  ISSN={1611-3349},
  DOI={10.1007/978-3-030-26980-7_24},
  booktitle={{Geometric Science of Information}},
  publisher={Springer International Publishing},
  author={van der Schaft, Arjan and Maschke, Bernhard},
  year={2019},
  pages={228--238}
}

Download the bib file

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