Question: A unity feedback control system is shown in the following diagram. Determine the relative stability of the system with the following transfer function by locating
A unity feedback control system is shown in the following diagram.

Determine the relative stability of the system with the following transfer function by locating the complex roots in the s-plane.
(a)
\[
G(s)=\frac{65+33 s}{s^{2}(s+9)}
\]
\[
\begin{equation*}
G(s)=\frac{24}{s\left(s^{3}+10 s^{2}+35 s+50ight)} \tag{b}
\end{equation*}
\]
\[
\begin{equation*}
G(s)=\frac{3(s+4)(s+8)}{s(s+5)^{2}} \tag{c}
\end{equation*}
\]
R(s) Y(s) G(s) Unity Feedback Control System
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