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Unformatted text preview: to obtain 2 s , place this coefficient in the s 1 row, and continue. Investigate sign changes from the s 1 row to the s row to determine the stability of the 2 nd order even polynomial. Since there are no sign changes and the roots of an even polynomial are symmetric about the origin, both poles are on the imaginary axis. To determine the location of the other poles, investigate sign changes from the s 2 row to the s 4 row. Since there are no sign changes, the remaining poles are in the left s–plane. Therefore, there are two poles on the imaginary axis and two poles in the left s–plane. The closed–loop characteristic equation does not depend upon K ; therefore, the stability results are independent of K . 2...
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 Spring '11
 LANDERS
 Complex number, sign changes, s1 row

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