1.

linear time-invariant single-input single-output system has a state space model given by \(\frac{{dx}}{{dt}} = Fx + Gu;y = Hx\)Where,\(F = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 4}&{ - 2} \end{array}} \right];\;G = \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right];\;H = \left[ {\begin{array}{*{20}{c}} 1&0 \end{array}} \right]\)Here, x is the sate vector, u is the input and y is the output.The damping ratio of the system is

A. 0.25
B. 0.5
C. 1
D. 2
Answer» C. 1


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