ROBUSTNESS OF POLE ASSIGNMENT IN A SPECIFIED REGION FOR PERTURBED SYSTEMS

This paper deals with the pole location of a perturbed matrix A+E. Two perturbation classes are discussed: One with structured perturbations E≤U (a given non-negative matrix) and one where only the spectral norm E is given. Sufficient conditions are derived for the eigenvalues of A+E to be located within a circle C(α, r). The case of a diagonalizable matrix A is also considered and a sufficient condition for robust stability of a class of perturbed discrete systems is derived. Numerical examples are presented for illustration. © 1990 Taylor & Francis Group, LLC.