On the interconnection structures of irreversible physical systems

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Abstract

An energy balance equation with respect to a control contact system provides port outputs which are conjugated to inputs. These conjugate variables are used to define the composition of port contact systems in the framework of contact geometry. We then propose a power-conserving interconnection structure, which generalizes the interconnection by Dirac structures in the Hamiltonian formalism. Furthermore, the composed system is again a port contact system, as illustrated on the example of a gas-piston system undergoing some irreversible transformation.
Original languageEnglish
Title of host publicationLagrangian and Hamiltonian Methods for Nonlinear Control 2006
EditorsF Bullo, K Fujimoto
Place of PublicationBERLIN
PublisherSpringer
Pages209-220
Number of pages12
ISBN (Print)978-3-540-73889-3
Publication statusPublished - 2007
Event3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear - , Japan
Duration: 19-Jul-200621-Jul-2006

Publication series

NameLECTURE NOTES IN CONTROL AND INFORMATION SCIENCES
PublisherSPRINGER-VERLAG BERLIN
Volume366
ISSN (Print)0170-8643

Other

Other3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear
Country/TerritoryJapan
Period19/07/200621/07/2006

Keywords

  • HAMILTONIAN-FORMULATION
  • DYNAMICS

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