@book{4edf64beda884732a69ce4b6970a567f,
title = "Fluid dynamical systems as Hamiltonian boundary control systems",
abstract = "It is shown how the geometric framework for distributed-parameter port-controlled Hamiltonian systems, as recently obtained by the authors, can be adapted to formulate ideal adiabatic fluids with non-zero energy flow through the boundary of the spatial domain as Hamiltonian boundary control systems. The key ingredient is the modification of the Stokes-Dirac structure introduced in previous publications to a Dirac structure defined on the space of mass density 3-forms and velocity 1-forms, incorporating three-dimensional convection. Some initial steps towards stabilization of these boundary control systems, based on the generation of Casimir functions for the closed-loop Hamiltonian system, are discussed.",
keywords = "MSC-35B37, MSC-35J55, MSC-70H05, IR-65762, MSC-93C20, MSC-58A10, EWI-3395, 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, Department of Applied Mathematics",
number = "1575",
}