Examveda

For the system described by the state equation \[\mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1&0\\ 0&0&1\\ {0.5}&1&2 \end{array}} \right]x + \left[ \begin{array}{l} 0\\ 0\\ 1 \end{array} \right]u\]
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

A. 0, -1, -2

B. 0, -1, -3

C. -1, -1, -2

D. 0, -1, -1

Answer: Option A


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