Abstract:
The paper considers the subset of the Schur stability domain, namely, the set of parameters for which the roots of polynomials of degree $n$ lie in the complex unit disc and are real numbers. The method for computation of the hypersurface area of this defined set in $n$-dimensional space is obtained. The maximum surface area of this set is reached for $n=3$, i.e., $3$-dimensional set has maximum surface area.