Zero Assignment, Pole Placement and Matrix Extension Problems: A Common Point of View

Mathematics – Optimization and Control

Scientific paper

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18 pages, LaTeX

Scientific paper

The paper studies a general inverse eigenvalue problem which contains as
special cases many well studied pole placement and matrix extension problems.
It is shown that the studied problem corresponds on the geometric side to a
central projection from some projective variety. The degree for this variety is
computed in the critical dimension.

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