Block diagrams from state matrices

[Dustinsfl]

How does one construct a block diagram from the state space representation?

Consider the state space:
\begin{align}
\dot{\mathbf{x}} &=
\begin{pmatrix}
0 & 1\\
0 & 0
\end{pmatrix}
\mathbf{x}(t) +
\begin{pmatrix}
0\\
1
\end{pmatrix}\mathbf{u}(t)\\
y(t) &= x_1(t)
\end{align}

 

[Aaron Bex]

The block diagram for this state space representation can be constructed as follows:\begin{tikzpicture}[node distance=2cm, auto]
% Place nodes
\node [input, name=input] {$\mathbf{u}(t)$};
\node [sum, right of=input] (sum) {$+$};
\node [block, right of=sum] (system) {$\begin{pmatrix} 0 & 1 \\ 0 & 0\end{pmatrix}$};
\node [output, right of=system] (output) {$y(t)$};
\node [block, below of=system] (feedback) {$\begin{pmatrix} 0 \\1 \end{pmatrix}$};

% Draw edges
\draw [->] (input) -- node {$\mathbf{x}(t)$} (sum);
\draw [->] (sum) -- node {} (system);
\draw [->] (system) -- node {$x_1(t)$} (output);
\draw [->] (feedback) -- node [name=y] {$\dot{\mathbf{x}}$} (system);
\draw [->