Orthogonality and partial pole assignment for the symmetric definite quadratic pencil (Q1355202)

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scientific article; zbMATH DE number 1011316
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Orthogonality and partial pole assignment for the symmetric definite quadratic pencil
scientific article; zbMATH DE number 1011316

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    Orthogonality and partial pole assignment for the symmetric definite quadratic pencil (English)
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    12 November 1997
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    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.
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    partial pole assignment
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    quadratic matrix pencil
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    second order matrix
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    feedback control
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    eigenvalue
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    eigenvector
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