Q58
Consider a system described by the state model \[ X ^. = [ array*20c 2&1\\ - 1&2 array ]X + [ arrayl 1\\ 1 array ]U and Y = [ 1\,\,1 ]X\] The system is:
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:
The system is:
A.
Controllable but not observable
B.
Uncontrollable and observable
C.
Both controllable and observable
AnswerD.
Neither controllable nor observable
Answer: Option C
Solution
Answer: Option C
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