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(Solved): Consider the following system \[ \begin{array}{l} \dot{z}=\left[\begin{array}{cccc} 0 & 1 & 0 & 0 ...



Consider the following system
\[
\begin{array}{l}
\dot{z}=\left[\begin{array}{cccc}
0 & 1 & 0 & 0 \\
2 & -3 & 0 & 0 \\
0 & 0

Consider the following system \[ \begin{array}{l} \dot{z}=\left[\begin{array}{cccc} 0 & 1 & 0 & 0 \\ 2 & -3 & 0 & 0 \\ 0 & 0 & 5 & 0 \\ 0 & 0 & -2 & -1 \end{array}\right] z+\left[\begin{array}{l} 0 \\ 1 \\ 0 \\ 0 \end{array}\right] u \\ y=\left[\begin{array}{llll} 1 & 2 & -8 & 1 \end{array}\right] z \end{array} \] From the information given which one of the following options best describes the system? a. Uncontrollable but observable b. Controllable but not observable c. Uncontrollable and not observable d. Controllable and observable


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State Space Equations are given. Comparing
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