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- Hurwitz_polynomial 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.e., a Hurwitz stable polynomial).A polynomial function P(s) of a complex variable s is said to be Hurwitz if the following conditions are satisfied:1. P(s) is real when s is real.2. The roots of P(s) have real parts which are zero or negative.Hurwitz polynomials are important in control systems theory, because they represent the characteristic equations of stable linear systems. Whether a polynomial is Hurwitz can be determined by solving the equation to find the roots, or from the coefficients without solving the equation by the Routh–Hurwitz stability criterion.".
- Hurwitz_polynomial wikiPageID "45857".
- Hurwitz_polynomial wikiPageLength "3761".
- Hurwitz_polynomial wikiPageOutDegree "19".
- Hurwitz_polynomial wikiPageRevisionID "673540609".
- Hurwitz_polynomial wikiPageWikiLink Adolf_Hurwitz.
- Hurwitz_polynomial wikiPageWikiLink Category:Polynomials.
- Hurwitz_polynomial wikiPageWikiLink Characteristic_polynomial.
- Hurwitz_polynomial wikiPageWikiLink Complex_analysis.
- Hurwitz_polynomial wikiPageWikiLink Complex_number.
- Hurwitz_polynomial wikiPageWikiLink Complex_variable.
- Hurwitz_polynomial wikiPageWikiLink Control_system.
- Hurwitz_polynomial wikiPageWikiLink Linear_system.
- Hurwitz_polynomial wikiPageWikiLink Mathematics.
- Hurwitz_polynomial wikiPageWikiLink McGraw-Hill_Education.
- Hurwitz_polynomial wikiPageWikiLink McGraw_Hill.
- Hurwitz_polynomial wikiPageWikiLink Pole_(complex_analysis).
- Hurwitz_polynomial wikiPageWikiLink Polynomial.
- Hurwitz_polynomial wikiPageWikiLink Real_number.
- Hurwitz_polynomial wikiPageWikiLink Root_of_a_function.
- Hurwitz_polynomial wikiPageWikiLink Routh–Hurwitz_stability_criterion.
- Hurwitz_polynomial wikiPageWikiLink Stability_theory.
- Hurwitz_polynomial wikiPageWikiLink Stable_polynomial.
- Hurwitz_polynomial wikiPageWikiLink Zero_(complex_analysis).
- Hurwitz_polynomial wikiPageWikiLink Zero_of_a_function.
- Hurwitz_polynomial wikiPageWikiLinkText "Hurwitz polynomial".
- Hurwitz_polynomial hasPhotoCollection Hurwitz_polynomial.
- Hurwitz_polynomial wikiPageUsesTemplate Template:Reflist.
- Hurwitz_polynomial subject Category:Polynomials.
- Hurwitz_polynomial hypernym Polynomial.
- Hurwitz_polynomial type Type.
- Hurwitz_polynomial type Function.
- Hurwitz_polynomial type Polynomial.
- Hurwitz_polynomial type Type.
- Hurwitz_polynomial comment "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.".
- Hurwitz_polynomial label "Hurwitz polynomial".
- Hurwitz_polynomial sameAs Hurwitzpolynom.
- Hurwitz_polynomial sameAs Polynôme_de_Hurwitz.
- Hurwitz_polynomial sameAs Polinomio_di_Hurwitz.
- Hurwitz_polynomial sameAs Polinômio_de_Hurwitz.
- Hurwitz_polynomial sameAs m.0cfl0.
- Hurwitz_polynomial sameAs Q1414214.
- Hurwitz_polynomial sameAs Q1414214.
- Hurwitz_polynomial wasDerivedFrom Hurwitz_polynomial?oldid=673540609.
- Hurwitz_polynomial isPrimaryTopicOf Hurwitz_polynomial.