Kharitonov region

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 $(S^n).$

See also Kharitonov's theorem.

References

* Y C Soh and Y K Foo (1991), “Kharitonov Regions: It Suffices to Check a Subset of Vertex Polynomials”, IEEE Trans. on Aut. Cont., 36, 1102 – 1105.