Question: Find diagonal state equations for a system with transfer function [ mathrm{T}(s)=frac{mathrm{Y}(s)}{mathrm{R}(s)}=frac{s^{3}+18 s^{2}+50 s+50}{(s+3)(s+4)(s+5)} ]

Find diagonal state equations for a system with transfer function

\[
\mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{R}(s)}=\frac{s^{3}+18 s^{2}+50 s+50}{(s+3)(s+4)(s+5)}
\]

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