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ECE · Q141

Control Systems

Engineering and GATE · ECE · question 141

Q141

The state equation of a system is \[ X ^ = [ array*20c 0&1\\ - 20&9 array ]X + [ arrayl 0\\ 1 array ]u\] The poles of this system are located at:

The state equation of a system is \mathop X\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 20}&9 \end{array}} \right]X + \left[ \begin{array}{l} 0\\ 1 \end{array} \right]u
The poles of this system are located at:
A.
-1, -9
B.
-1, -20
C.
-4, -5
Answer
D.
-9, -20

Answer: Option C

Solution

Answer: Option C
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