For the system described by the state equation˙x=⎡⎢⎣0100010.512 – InterviewSolution

1.	For the system described by the state equation˙x=⎡⎢⎣0100010.512⎤⎥⎦x+⎡⎢⎣001⎤⎥⎦uIf the control signal u is given by u=[−0.5−3−5]x+v, then the eigen values of the closed-loop system will be
Answer» For the system described by the state equation $˙ x = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 0 0 & 0 & 1 0.5 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦ x + ⎡ ⎢ ⎣ \begin{matrix} 001 \end{matrix} ⎤ ⎥ ⎦ u$ If the control signal $u$ is given by $u = [- 0.5 - 3 - 5] x + v$ , then the eigen values of the closed-loop system will be

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