Structural engineering - Revision history

en>Niki Goss at 15:55, 17 December 2014

2014-12-17T15:55:56Z

← Older revision		Revision as of 17:55, 17 December 2014
Line 1:		Line 1:
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en>Imveracious: /* History of Structural Engineering */

2014-02-10T18:34:13Z

History of Structural Engineering

Show changes

en>Imveracious: /* Civil engineering structures */

2014-01-31T04:08:31Z

Civil engineering structures

@@ Line 1: / Line 1: @@
-== White Nike Cortez The singularity has not arrived ==
+In [[mathematics]], a '''Hurwitz polynomial''', named after [[Adolf Hurwitz]], is a [[polynomial]] whose coefficients are positive [[real number]]s and whose [[root of a function|roots]] ([[zero (complex analysis)|zeros]]) are located in the left half-plane of the [[complex number|complex plane]] or on the ''jω'' axis, that is, the real part of every root is zero or negative.<ref name="Kuo">{{cite book
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+A polynomial function ''P''(''s'') of a [[complex variable]] ''s'' is said to be Hurwitz if the following conditions are satisfied:
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+:1. ''P''(''s'') is real when ''s'' is real.
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+:2. The roots of ''P''(''s'') have real parts which are zero or negative.
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+Hurwitz polynomials are important in [[control system|control systems theory]], because they represent the [[Characteristic polynomial#Characteristic equation|characteristic equations]] of [[Stability theory|stable]] [[linear system]]s.  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]].
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+== Examples ==
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+A simple example of a Hurwitz polynomial is the following:
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+:<math>x^2 + 2x + 1.</math>
- </ul>
+The only real solution is &minus;1, as it factors to

en>Ken Gallager: fix opening captions; disambig Phoenix

2012-08-29T14:55:27Z

fix opening captions; disambig Phoenix

New page

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