Question: Find diagonal state equations for a system with transfer function [ mathrm{T}(s)=frac{mathrm{Y}(s)}{mathrm{R}(s)}=frac{2 s^{2}+3 s-7}{(s+2)left(s^{2}+13 s+40ight)} ]

Find diagonal state equations for a system with transfer function

\[
\mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{R}(s)}=\frac{2 s^{2}+3 s-7}{(s+2)\left(s^{2}+13 s+40ight)}
\]

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