On μ and stability of uncertain polynomials

The purpose of this paper is to establish a link between the structured singular value and the stability analysis of uncertain polynomials. We first give an analytical expression for a generalization of the structured singular value under a certain circumstance and next show how stability problems of uncertain polynomials may be studied in this framework. Our results include a number of small gain type conditions which, when specialized to several problems of interest, lead to some previously obtained results in the spirit of kharitonov's theorem.