Arbitrary robust eigenvalue placement by a static state feedback

It is demonstrated that arbitrary robustness of stabilization with an arbitrarily fixed degree of exponential decay can be achieved by a static state feedback for systems with so called matched perturbations of uncertain parameters in the state coefficient matrix A ( i.e., with perturbations of A in the range of the input matrix B). This extends previously known results on stability without eigenvalue placement conditions. This result is in sharp contrast with the case of general perturbations in either A or B or both where there are limits for the degree of exponential stabilizability dependent on the size of perturbations