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Distributed port-Hamiltonian modelling for irreversible processes

Author

Listed:
  • W. Zhou
  • B. Hamroun
  • F. Couenne
  • Y. Le Gorrec

Abstract

Infinite-dimensional port-Hamiltonian representation of irreversible processes accounting for the thermal energy domain is presented. Two examples are studied: the transmission line and a non-isothermal reaction diffusion process. The proposed approach uses thermodynamic variables in order to define the infinite-dimensional interconnection structure linking the different phenomena. A presentation is given for one-dimensional spatial domain. For the transmission line, the Hamiltonian is the total energy and for the reaction diffusion process it is the enthalpy or the opposite of entropy.

Suggested Citation

  • W. Zhou & B. Hamroun & F. Couenne & Y. Le Gorrec, 2017. "Distributed port-Hamiltonian modelling for irreversible processes," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 23(1), pages 3-22, January.
    • Handle: RePEc:taf:nmcmxx:v:23:y:2017:i:1:p:3-22
    DOI: 10.1080/13873954.2016.1237970
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