The dual theorem of Kharitonov for a class of dependent uncertainties

Abstract

The author provides a simple criterion for the strict Hurwitz property of uncertain polynomials with coefficients q epsilon R/sup n-1/ varying in a given diamond Q/sub D/. Since Q/sub D/ is the set dual to the rectangle Q/sub R/ considered by V.L. Kharitonov (1978), the result obtained is called the dual theorem of Kharitonov. This theorem shows that a family of polynomials with coefficients q varying in the diamond Q/sub D/ is strictly Hurwitz if and only if eight one-dimensional edges of the diamond are strictly Hurwitz.<>