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1991 | OriginalPaper | Buchkapitel

Eigenvalue and Eigenvector Differential Sensitivity

verfasst von : Univ.-Prof. Dr. Alexander Weinmann

Erschienen in: Uncertain Models and Robust Control

Verlag: Springer Vienna

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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).

Metadaten
Titel
Eigenvalue and Eigenvector Differential Sensitivity
verfasst von
Univ.-Prof. Dr. Alexander Weinmann
Copyright-Jahr
1991
Verlag
Springer Vienna
DOI
https://doi.org/10.1007/978-3-7091-6711-3_6

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