Conditions for minimizing the norm sensitivity of characteristic roots
Éric Gilbert · IEEE Transactions on Automatic Control · 1984
The sensitivity, of a characteristic root of annbynreal matrix is measured by the Euclidean norm of the root's n2derivatives with respect to the elements of the matrix. Let λ denote a real root and\sigma + j\omegaa complex root. Conditions for minimizing the sensitivity norms based on\lambda, \sigma, \omega,and|\sigma + j\omega|are obtained. Since the conditions apply for allnand involve simple algebraic properties of the matrix, they may have useful applications.