@book{a0b7b3ada23b4f6faece42c418e86747,

title = "Hamiltonian formulation of distributed-parameter systems with boundary energy flow",

abstract = "A Hamiltonian formulation of classes of distributed-parameter systems is presented, which incorporates the energy flow through the boundary of the spatial domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. The system is Hamiltonian with respect to an infinite-dimensional Dirac structure associated with the exterior derivative and based on Stokes' theorem. The theory is applied to the telegraph equations for an ideal transmission line, Maxwell's equations on a bounded domain with non-zero Poynting vector at its boundary, and a vibrating string with traction forces at its ends. Furthermore the framework is extended to cover Euler's equations for an ideal fluid on a domain with permeable boundary. Finally, some properties of the Stokes-Dirac structure are investigated, including the analysis of conservation laws.",

keywords = "MSC-35B37, MSC-35Q60, MSC-70H05, IR-65773, MSC-93C20, EWI-3406, MSC-76N10",

author = "{van der Schaft}, A.J. and B.M. Maschke",

note = "Imported from MEMORANDA",

year = "2001",

language = "English",

series = "Memorandum / Faculty of Mathematical Sciences",

publisher = "University of Twente, Faculty of Mathematical Sciences",

number = "1586",

}