Two linear time-invariant systems with transfer functions G_{1}(s) = \frac{10}{s^{2} + s + 1} and G_{2}(s) = {10}/{s^{2} + s\sqrt{10} + 10} have unit step responses y1(t) and y2(t), respectively. Which of the following statements is/are true?

Correct Answer is : y1(t) and y2(t) have the same percentage peak overshoot.

y1(t) and y2(t) have the same percentage peak overshoot.

y1(t) and y2(t) have the same steady-state value.

y1(t) and y2(t) have the same damped frequency of oscillation.

y1(t) and y2(t) have the same 2% settling time.

GATE Electronics and Communications (EC) 2022 Solved Paper

Question : 56 of 65

Marks: +1, -0

Two linear time-invariant systems with transfer functions

G_{1}(s) = \;{10}/{s^{2} + s + 1}

and

G_{2}(s) = \;{10}/{s^{2} + s{√{10}} + 10}

have unit step responses y1(t) and y2(t), respectively. Which of the following statements is/are true?

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