@inproceedings{c7632be247d64d75bc11babb12eb13c8,

title = "Pole placement results for complex symmetric and Hamiltonian transfer functions",

abstract = "This paper studies the problem of pole assignment for symmetric and Hamiltonian transfer functions. A necessary and sufficient condition for pole assignment by complex symmetric output feedback transformations is given. Moreover, in the case where the McMillan degree coincides with the number of parameters appearing in the symmetric feedback transformations, we derive an explicit combinatorial formula for the number of pole assigning symmetric feedback gains. The proof uses intersection theory in projective space as well as a formula for the degree of the complex Lagrangian Grassmann manifold.",

keywords = "Degree of a projective variety, Inverse eigenvalue problems, Lagrangian grassmannian, Output feedback, Pole placement, Symmetric or hamiltonian realizations",

author = "U. Helmke and J. Rosenthal and X. Wang",

year = "2007",

doi = "10.1109/CDC.2007.4435047",

language = "English",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3450--3453",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

note = "null ; Conference date: 12-12-2007 Through 14-12-2007",

}