Kharitonov region

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A Kharitonov region is a concept in mathematics. It arises in the study of the stability of polynomials.

Let $D$ be a simply-connected set in the complex plane and let $P$ be the polynomial family.

$D$ is said to be a Kharitonov region if

$V_T^n(V_S^n)$

is a subset of $P .$ Here, $V_T^n$ denotes the set of all vertex polynomials of complex interval polynomials $(T n)$ and $V_S^n$ denotes the set of all vertex polynomials of real interval polynomials $(S n).$