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Test whether the following functions, $$ \begin{aligned} &\text { ii) } F(s)=\frac{(s)(s+3)(s+5)}{(s+1)(s+4)} \end{aligned} $$
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Solution:

$ \begin{aligned} \\ &N(s)=s^3+8 s^2+15 s\\\\ &\begin{array}{l|ll} s^3 & 1 & 15 \\\\ \hline s^2 & 8 & - \\\\ \hline s^1 & 15 & - \\\\ \hline s^0 & - & \end{array} \\ \end{aligned} \\ $

N(s) is Hurwitz's polynomials.

$$ D(s)=s^2+5 s+4 $$

$$ \begin{array}{c|cc} s^2 & …

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