1.

Consider the state – space model\(\left[ {\begin{array}{*{20}{c}} {{{\dot x}_1}}\\ {{{\dot x}_2}}\\ {{{\dot x}_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} { - 1}&1&0\\ 0&{ - 1}&0\\ 0&0&{ - 2} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{x_1}}\\ {{x_2}}\\ {{x_3}} \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} 0\\ 4\\ 0 \end{array}} \right]u\)\(y = \left[ {\begin{array}{*{20}{c}} 1&1&1 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{x_1}}\\ {{x_2}}\\ {{x_3}} \end{array}} \right]\)System is

A. Controllable and observable
B. Uncontrollable and observable
C. Uncontrollable and Unobservable
D. Controllable and Unobservable
Answer» C. Uncontrollable and Unobservable


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