The transfer function of the system $Y(s)/U(s)$ whose state-space equations are given below is:
$\begin{bmatrix} \dot{x}_{1}(t)\\ \dot{x}_{2}(t) \end{bmatrix}=\begin{bmatrix} 1 & 2\\ 2& 0 \end{bmatrix}\begin{bmatrix} x_{1}(t)\\ x_{2}(t) \end{bmatrix}+\begin{bmatrix} 1\\ 2 \end{bmatrix} u(t)$
$y(t)=\begin{bmatrix} 1 & 0 \end{bmatrix}\begin{bmatrix} x_{1}(t)\\ x_{2}(t) \end{bmatrix}$
- $\frac{(s+2)}{(s^{2}-2s-2)} \\ $
- $\frac{(s-2)}{(s^{2}+s-4)} \\ $
- $\frac{(s-4)}{(s^{2}+s-4)} \\ $
- $\frac{(s+4)}{(s^{2}-s-4)} \\$