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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 wikiPageRevisionID "583623635".
- Hurwitz_polynomial hasPhotoCollection Hurwitz_polynomial.
- Hurwitz_polynomial subject Category:Polynomials.
- Hurwitz_polynomial type Abstraction100002137.
- Hurwitz_polynomial type Function113783816.
- Hurwitz_polynomial type MathematicalRelation113783581.
- Hurwitz_polynomial type Polynomial105861855.
- Hurwitz_polynomial type Polynomials.
- Hurwitz_polynomial type Relation100031921.
- 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 label "Hurwitzpolynom".
- Hurwitz_polynomial label "Polinomio di Hurwitz".
- Hurwitz_polynomial label "Polinômio de Hurwitz".
- Hurwitz_polynomial label "Polynôme de Hurwitz".
- 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 sameAs Hurwitz_polynomial.
- Hurwitz_polynomial wasDerivedFrom Hurwitz_polynomial?oldid=583623635.
- Hurwitz_polynomial isPrimaryTopicOf Hurwitz_polynomial.