abstract:In mathematics, a Hurwitz polynomial, named after Adolf Hurwitz, is a polynomial whose coefficients are positive real numbers and whose roots (zeros) are located in the left half-plane of the complex plane or on the jω axis, that is, the real part of every root is zero or negative. The term is sometimes restricted to polynomials whose roots have real parts that are strictly negative, excluding the axis (i.
The perturbation ranges of the coefficientsofHurwitz polynomials, which is related to intervalpolynomialstability, are discussed, and threeanalysismethodsare proposed.