1.

For the system governed by the set of equations:\(\begin{array}{l}\frac{{d{x_1}}}{{dt}} = 2{x_1} + {x_2} + u\\d{x_2}/dt = -2{x_1} + u\\y = 3{x_1}\end{array}\)the transfer function \(Y\left( s \right)/U\left( s \right)\) is given by

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


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