Conditions for minimizing the norm sensitivity of characteristic roots
- 1 July 1984
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 29 (7), 658-661
- https://doi.org/10.1109/tac.1984.1103608
Abstract
The sensitivity, of a characteristic root of an n by n real matrix is measured by the Euclidean norm of the root's n 2 derivatives with respect to the elements of the matrix. Let denote a real root and sigma + jomega a complex root. Conditions for minimizing the sensitivity norms based on lambda, sigma, omega, and |sigma + jomega| are obtained. Since the conditions apply for all n and involve simple algebraic properties of the matrix, they may have useful applications.Keywords
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