Overcoming the dissipation obstacle with bicomplex port-hamiltonian mechanics

Coen Hutters*, Max Mendel

*Corresponding author for this work

Research output: Contribution to journalConference articleScientificpeer-review

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The dissipation obstacle refers to the problem that there is no general solution to shape the energy of dissipative port-Hamiltonian (pH) systems with the method of Casimir functions. This paper argues that it is caused by lack of a strictly symplectic structure of a dissipative port-Hamiltonian system. We develop a method of bicomplex pH systems that is strictly symplectic and we show how it overcomes the obstacle and allows one to systematically use Casimir functions to shape the energy.

Original languageEnglish
Pages (from-to)5573-5578
Volume53 (2020)
Issue number2
Publication statusPublished - 2021
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020


  • Dissipation obstacle
  • Energy shaping
  • Energy-Casimir method
  • Hamiltonian mechanics
  • Port-Hamiltonian systems


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