Q290
Consider the system \[ dxdt = Ax + Bu\] with \[A = [ array*20c 1&0\\ 0&1 array ]\] and \[B = [ arrayl p\\ q array ]\] where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?
Consider the system with A = \left[ {\begin{array}{*{20}{c}}
1&0\\
0&1
\end{array}} \right] and where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?
A.
The system is completely state controllable for any nonzero values of p and q
B.
Only p = 0 and q = 0 result in controllability
C.
The system is uncontrollable for all values of p and q
AnswerD.
We cannot conclude about controllability from the given data
Answer: Option C
Solution
Answer: Option C
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