Kharitonov region

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Let D be a simply connected region in the complex plane and P denodes the polynomial family.

D is said to be a Kharitonov Region if VTn(VSn) is a subset of P. Where VTn denodes the set of all vertex polynomials of complex interval polynomials(Tn) and VSn denodes the set of all vertex polynomials of real interval polynomials(Sn).


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.

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