Question: Given the following State-Space model, derive the Transfer Function model. [begin{gathered}dot{x}=left[begin{array}{ccc}2 & -3 & -8 0 & 5 & 3 -3 & -5 & -4end{array}ight]left[begin{array}{l}x_{1}

Given the following State-Space model, derive the Transfer Function model.

\[\begin{gathered}\dot{x}=\left[\begin{array}{ccc}2 & -3 & -8 \\0 & 5 & 3 \\-3 & -5 & -4\end{array}ight]\left[\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}ight]+\left[\begin{array}{l}1 \\4 \\6\end{array}ight] r \\y=\left[\begin{array}{lll}1 & 3 & 6\end{array}ight]\left[\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}ight]\end{gathered}\]

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