1
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

The open loop transfer function of a unity gain negative feedback system is given by $$G(s) = {k \over {{s^2} + 4s - 5}}$$. The range of k for which the system is stable, is

A
k > 3
B
k < 3
C
k > 5
D
k < 5
2
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A closed loop system has the characteristic equation given by
$${s^3} + K{s^2} + \left( {K + 2} \right)s + 3 = 0.$$ For this system to be stable, which one of the following conditions should be satisfied?
A
$$0 < K < 0.5$$
B
$$0.5 < K < 1$$
C
$$0 < K < 1$$
D
$$K > 1$$
3
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A single-input single-output feedback system has forward transfer function $$𝐺(𝑠)$$ and feedback transfer function $$𝐻(𝑠).$$ It is given that $$\left| {G\left( s \right)H\left( s \right)} \right| < 1.$$ Which of the following is true about the stability of the system?
A
The system is always stable
B
The system is stable if all zeros of $$𝐺(𝑠)𝐻(𝑠)$$ are in left half of the $$s$$-plane
C
The system is stable if all poles of $$𝐺(𝑠)𝐻(𝑠)$$ are in left half of the s-plane
D
It is not possible to say whether or not the system is stable from the information given
4
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of
A
only one root at the origin
B
imaginary roots
C
only positive real roots
D
only negative roots
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