ON PRESERVING THE STABILITY OF A PERTURBED HURWITZ POLYNOMIAL

Document Type : Original Article

Author

Assistant Professor, University of Wisconsin-Milwaukee, P. O. Box 784 Milwaukee, Wisconsin 53201

Abstract

Necessary and sufficient conditions for a perturbed polynomial to remain Hurwitz are given. The conditions do not require a priori knowledge of the bounds on coefficient perturbations and allow the designer maximum freedom in allocating different weights to various coefficients to reflect different levels of uncertainty in the coefficients. The conditions are an extension of a previous result of the author in which suf-ficient conditions for the same problem were obtained.