1.

The state space representation of a system is given by\(\dot x = \left[ {\begin{array}{*{20}{c}} 0&1\\ 0&{ - 3} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right]u,y = \left[ {\begin{array}{*{20}{c}} 1&0 \end{array}} \right]x\)The transfer function \(\frac{{Y\left( s \right)}}{{U\left( s \right)}}\) of the system will be

A. \(\frac{1}{s}\)
B. \(\frac{1}{{s\left( {s + 3} \right)}}\)
C. \(\frac{1}{{s + 3}}\)
D. \(\frac{1}{{{s^2}}}\)
Answer» B. \(\frac{1}{{s\left( {s + 3} \right)}}\)


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