Examveda

Consider a system described by the state model \[\mathop X\limits^. = \left[ {\begin{array}{*{20}{c}} 2&1\\ { - 1}&2 \end{array}} \right]X + \left[ \begin{array}{l} 1\\ 1 \end{array} \right]U{\rm{ and }}Y = \left[ {1\,\,1} \right]X\]
The system is:

A. Controllable but not observable

B. Uncontrollable and observable

C. Both controllable and observable

D. Neither controllable nor observable

Answer: Option C


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