%0 Book
%A Berger, W.
%E Perry, R.
%E Sun, H.
%D 1989
%G English
%T Aspects of eigenvalue sensitivity in multivariable systems.
%U http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178405
%X This paper contains new results in the
evaluation of sensitivity of eigenvalues of a
closed-loop system to the perturbations in the gain
elements. A basis for the gain vector space is
developed using large-scale perturbations of the
eigenvalues such that movement of the gain vector
along a direction in this space affects the position
of only one real eigenvalue, or of a complex conjugate
pair of eigenvalues. It is shown that this basis
can be used to directly compute the incremental
sensitivities of the eigenvalues to the individual
gain vector elements. Numerical examples are
included to illustrate these theoretical concepts.