Abstract
Given the polynomial in z, P$_{0}$ (z) = z$^{n}$ + a$_{1}$z$^{n-1}$ + a$_{2}$z$^{n-2}$ + ... + a$_{n-1}$z + a$_{0}$ , it is of interest to know how much coefficient a$_{I}$ can be perturbed while simultaneously preserving the stable property of the polynomials. In this paper, we derive the maximal intervals, centered about the nominal values of the coefficients, having the following property: the polynomial remains stable for all variations within these intervals. And then, under the unfixed weighted perturbation evaluate upper and lower allowable perturbations.tions.s.