# Hurwitz polynomial

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## Hurwitz polynomial

[′hər·vitz ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial whose zeros all have negative real parts.
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where p is the complex frequency variable, h(p) is an arbitrary polynomial and g(p) is a strictly Hurwitz polynomial.
As expected, the interlacing property of a Hurwitz polynomial is utilized to find all stabilizing controllers for the closed-loop characteristic equation [DELTA](s):
These use the interlacing property of Hurwitz polynomials to derive sets of linear equations that can be solved quickly and efficiently.
Furthermore, if |DQGP - DKP - DHR QJR| is a Hurwitz polynomial, then the closed loop system depicted in Fig.
P](s)| and |Q(s)| are both Hurwitz polynomials, the final value theorem can be employed; i.
sigma] is a unimodular constant; |[sigma]| = 1, g(p,[lambda]) is a scattering Hurwitz polynomial.
n](s) = the generalized Chebyshev polynomial p(s) = the Hurwitz polynomial
of Notre Dame) are on the mathematics of circuits and filters, with discussion of Fourier methods, z-transforms, wavelet transforms, graph theory, and the theory of two-dimensional Hurwitz polynomials, among other topics.

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