The paper investigates the problem of the robust stability of Schur polynom
ials. Recently, a new approach based on the Rouche theorem of classical com
plex analysis has been adopted for the solution of this problem. In this pa
per, an improvement of the previous solution is presented. This is the opti
mum solution of the robust stability problem for Schur polynomials, which i
s obtained by solving a minimization problem and is better than other metho
ds in robust stability literature. Three numerical examples are given to il
lustrate the proposed method.