@book{74e466ea9eae436ba30dae5dd322f412,

title = "Dirac structures and boundary control systems associated with skew-symmetric differential operators",

abstract = "Associated with a skew-symmetric linear operator on the spatial domain $[a,b]$ we define a Dirac structure which includes the port variables on the boundary of this spatial domain. This Dirac structure is a subspace of a Hilbert space. Naturally, associated to this Dirac structure is infinite dimensional system. We parameterize the boundary port variables for which the \( C_{0} \)-semigroup associated to this system is contractive or unitary. Furthermore, this parameterization is used to split the boundary port variables into inputs and outputs. Similarly, we define a linear port controlled Hamiltonian system associated with the previously defined Dirac structure and a symmetric positive operator defining the energy of the system. We illustrate this theory on the example of the Timoshenko Beam.",

keywords = "MSC-93C25, MSC-35M99, MSC-70H45, IR-65914, EWI-3550, MSC-47D06, MSC-93C20",

author = "{Le Gorrec}, Y. and Zwart, {Heiko J.} and B.M. Maschke",

note = "Imported from MEMORANDA",

year = "2004",

language = "Undefined",

series = "Memorandum / Faculty of Mathematical Sciences",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1730",

}