Hot questions in Control Systems

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The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is$\dfrac{s+1}{5s^2+6s+2} \\$$\dfrac{s+1}{s^2+6s+2} \\$$\d...
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Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$$t\:u(t) \\$$\dfrac{t^2}{2}u(t) \\$$e^{-t}u(t)$
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In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$...