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Check the given polynomial for Hurwitz \[ P\left(s \right)=s^5+8s^4+24s^3+28s^2+23s+6 \]

written 3.5 years ago by teamques10 ★ 67k

•   modified 3.5 years ago

control systems

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1 Answer

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written 3.5 years ago by teamques10 ★ 67k

Routh array :

$\left.\begin{array}{ cccccc} s^5 \\ s^4 \\ s^3 \\ s^2 \\ s \\ s^0 \end{array}\right\vert{}\ \ \begin{array}{ cccccc} 1 & 24 & 23 \\ 8 & 28 & 6 \\ 20.5 & 22.5 & \ \\ 19.317 & 6 & \ \\ 16.1325 & \ & \ \\ 6 & \ & \ \end{array}\ $   

∴ there is no sign change in the 1st column of array

∴ Given polynomial is Hurwitz

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