Q86
The system mode described by state equations \[ x ^. = [ array*20c 0&1\\ 2& - 3 array ]x + [ array*20c 0\\ 1 array ]u,\,y = [ 1\,\,1 ]x is\]
The system mode described by state equations
\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} 0&1\\ 2&{ - 3} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u,\,y = \left[ {1\,\,1} \right]x {\rm{ is}}
\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} 0&1\\ 2&{ - 3} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u,\,y = \left[ {1\,\,1} \right]x {\rm{ is}}
A.
controllable and observable
AnswerB.
controllable but not observable
C.
observable but not controllable
D.
neither controllable nor observable
Answer: Option A
Solution
Answer: Option A
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