Controllable Canonical Form

A way of representing a system

Where:

$$A=\left[\begin{array}{cccc}-{\alpha }_1& -{\alpha }_2& -{\alpha }_3& -{\alpha }_4\\ 1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\end{array}\right],B=\left[\begin{array}{c}1\\ 0\\ 0\\ 0\end{array}\right],C=\left[\begin{array}{cccc}{n}_1& n_2& n_3& n_4\end{array}\right]$$