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Orthogonality and partial pole assignment for the symmetric definite quadratic pencil. (English) Zbl 0876.15009
A second order matrix DE is reinterpreted as an eigenvalue and eigenvector problem for a quadratic matrix pencil. This paper establishes orthogonality relations for the resulting symmetric definite pencils and gives explicit and realizable feedback rules for partial pole assignment of the underlying system.
Reviewer: F.Uhlig (Auburn)

MSC:
15A22 Matrix pencils
93B55 Pole and zero placement problems
15A18 Eigenvalues, singular values, and eigenvectors
93B52 Feedback control
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