@article {IOPORT.00884824, author = {Sun, Ji-Guang}, title = {Perturbation analysis of the pole assignment problem.}, year = {1996}, journal = {SIAM Journal on Matrix Analysis and Applications}, volume = {17}, number = {2}, issn = {0895-4798}, pages = {313-331}, publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, doi = {10.1137/S0895479894276771}, abstract = {An analysis which reveals the sensitivity of the state feedback matrix to perturbations in the system matrices and the set of desired poles in the pole assignment problem for linear systems is presented. The analysis is based on the implicit function theorem and its generalization and covers the case of distinct closed-loop poles only. Absolute condition numbers are derived which are then used to obtain first-order perturbation bounds for the solution of the pole assignment problem. The conditioning of the state feedback and the conditioning of the resulting closed-loop poles are discussed and several numerical examples are presented.}, reviewer = {Petko Hr.Petkov (Sofia)}, identifier = {00884824}, }