Q3 A. Consider the control process \begin{pmatrix}x\\ y\\ z\end{pmatrix}^'=\begin{pmatrix}0&1&0\\ 0&0&1\\ -2&-4&1\end{pmatrix}\begin{pmatrix}x\\ y\\ z\end{pmatrix}+\begin{pmatrix}1&0\\ 0&1\\ -1&1\end{pmatrix}\begin{pmatrix}u_1\left(t\right)\\ u_2\left(t\right)\end{pmatrix}. Is this system glablly null controllable ? Use C = [B,AB] and use Echelon Form of C. Use this to solve Q3 B. Is the system in Q3 A gloabally null controllable under the additonal constraint ll \begin{pmatrix}u_1\left(t\right)\\ u_2\left(t\right)\end{pmatrix} ll \le 2 ?

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