In this paper, we consider the pole assignment robustness problem of a perturbed system represented by a state space model. Based upon the Lyapunov approach, a bound on the highly structured perturbation is obtained for the eigenvalues of a perturbed ...
In this paper, we consider the pole assignment robustness problem of a perturbed system represented by a state space model. Based upon the Lyapunov approach, a bound on the highly structured perturbation is obtained for the eigenvalues of a perturbed matrix to be located in a specified region. The resulting bound is shown to be less conservative than the previous ones. Specially, for the case of the hermitian matrix, the bound is obtained in terms of the nominal matrix without solving the Lyapunov equation. To verify the effectiveness of the proposed approach, several examples ate shown.