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Published in:
1991 | OriginalPaper | Chapter
Eigenvalue and Eigenvector Differential Sensitivity
Author : Univ.-Prof. Dr. Alexander Weinmann
Published in: Uncertain Models and Robust Control
Publisher: Springer Vienna
Included in: Professional Book Archive
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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).