The state variable description of an LTI system given by⎡⎢⎣˙x1� – InterviewSolution

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1.	The state variable description of an LTI system given by⎡⎢⎣˙x1˙x2˙x3⎤⎥⎦=⎡⎢⎣0a1000a2a300⎤⎥⎦⎡⎢⎣x1x2x3⎤⎥⎦+⎡⎢⎣001⎤⎥⎦uy=[100]Where y is the ouput and u is the input. The system controllable for
Answer» The state variable description of an LTI system given by $⎡ ⎢ ⎣ \begin{matrix} _{1}_{2}_{3} \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 0 & a_{1} & 0 0 & 0 & a_{2} a_{3} & 0 & 0 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x_{1} x_{2} x_{3} \end{matrix} ⎤ ⎥ ⎦ + ⎡ ⎢ ⎣ \begin{matrix} 001 \end{matrix} ⎤ ⎥ ⎦ u$ $y = [\begin{matrix} 1 & 0 & 0 \end{matrix}]$ Where y is the ouput and u is the input. The system controllable for

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