A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes' theorem. The definition is illustrated on the examples of the telegrapher's equations, Maxwell's equations and the vibrating string.
|Place of Publication||Enschede|
|Publisher||University of Twente, Department of Applied Mathematics|
|Publication status||Published - 2000|
|Name||Memorandum / Faculty of Mathematical Sciences|
|Publisher||Department of Applied Mathematics, University of Twente|
Maschke, B. M., & van der Schaft, A. (2000). Port controlled Hamiltonian representation of distributed parameter systems. (Memorandum / Faculty of Mathematical Sciences; No. 1510). Enschede: University of Twente, Department of Applied Mathematics.