Kharitonov region explained

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 ifV ^{n)} _{S}

is a subset of

P. Here, V ^{n} _{T} denotes the set of all vertex polynomials of complex interval polynomials (T ^{n)} and V ^{n} _{S} 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.