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Eigenvalue and Eigenvector Differential Sensitivity

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Uncertain Models and Robust Control
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Abstract

Differential sensitivity of an eigenvalue is given by the quotient of an infinitesimal change of the eigenvalue λ[F] and an infinitesimal change of a matrix K on which the eigenvalue depends when F = A + BKC . Small-scale robustness is obtained when the differential sensitivity is smalI. A geometrie interpretation of the differential sensitivity of an eigenvalue with respect to a matrix is given in Eq.(32.91).

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© 1991 Springer-Verlag Wien

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Weinmann, A. (1991). Eigenvalue and Eigenvector Differential Sensitivity. In: Uncertain Models and Robust Control. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6711-3_6

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  • DOI: https://doi.org/10.1007/978-3-7091-6711-3_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7390-9

  • Online ISBN: 978-3-7091-6711-3

  • eBook Packages: Springer Book Archive

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