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

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

is said to be a **Kharitonov region** if

is a subset of Here, denotes the set of all vertex polynomials of complex interval polynomials and denotes the set of all vertex polynomials of real interval polynomials

- 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.