Q136
The state variable representation of a system is given as \[ arrayl x ^ = [ array*20c 0&1\\ 0& - 1 array ]x,\,x ( 0 ) = [ arrayl 1\\ 0 array ]\\ y = [ 0\,\,1 ]x array\] The response y(t) is
The state variable representation of a system is given as
\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1\\ 0&{ - 1} \end{array}} \right]x,\,x\left( 0 \right) = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]\\ y = \left[ {0\,\,1} \right]x \end{array}
The response y(t) is
\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1\\ 0&{ - 1} \end{array}} \right]x,\,x\left( 0 \right) = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]\\ y = \left[ {0\,\,1} \right]x \end{array}
The response y(t) is
A.
sin(t)
B.
1 - et
C.
1 - cos(t)
D.
0
AnswerAnswer: Option D
Solution
Answer: Option D
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