The dual theorem of Kharitonov for a class of dependent uncertainties

The author provides a simple criterion for the strict Hurwitz property of uncertain polynomials with coefficients qε R ^n-1 varying in a given diamond Q_D. Since Q_D is the set dual to the rectangle Q_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 _D is strictly Hurwitz if and only if eight one-dimensional edges of the diamond are strictly Hurwitz