This video gives an introduction into the Routh-Hurwitz Criterion and the Routh Array. I also present a little background information in order to emphasize why the method was developed and how controls engineers use it to determine stability of a system with a high order characteristic polynomial.

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Routh-Hurwitz on Wikipedia:
http://en.wikipedia.org/wiki/Routh--Hurwitz_stability_criterion

Routh-Hurwitz Analysis:
http://home.scarlet.be/colleman/upgra...