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Datta, Biswa N.; Elhay, Sylvan; Ram, Yitshak M.

Orthogonality and partial pole assignment for the symmetric definite quadratic pencil. (English) Zbl 0876.15009

Linear Algebra Appl. 257, 29-48 (1997).
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)

Cited in 2 Reviews
Cited in 33 Documents

MSC:

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

Keywords:

partial pole assignment; quadratic matrix pencil; second order matrix; feedback control; eigenvalue; eigenvector
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\textit{B. N. Datta} et al., Linear Algebra Appl. 257, 29--48 (1997; Zbl 0876.15009)
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References:

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