1
GATE EE 2017 Set 1
+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
$$K > 1$$
2
GATE EE 2014 Set 3
+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
3
GATE EE 2014 Set 1
+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
4
GATE EE 2009
+1
-0.3
The first two rows of Routh's tabulation of a third order equation are as follows $$\left. {\matrix{ {{s^3}} \cr {{s^2}} \cr } } \right|\matrix{ 2 & 2 \cr 4 & 4 \cr }$$\$
this means there are

A
two roots at $$s$$ $$= \pm j$$ and one root in right half $$s$$ - plane
B
two roots at $$s$$ $$= \pm j2$$ and one root in left half $$s$$ - plane
C
two roots at $$s$$ $$= \pm j2$$ and one root in right half $$s$$ - plane
D
two roots at $$s$$ $$= \pm j$$and one root in left half $$s$$ - plane
GATE EE Subjects
Electric Circuits
Electromagnetic Fields
Signals and Systems
Electrical Machines
Engineering Mathematics
General Aptitude
Power System Analysis
Electrical and Electronics Measurement
Analog Electronics
Control Systems
Power Electronics
Digital Electronics
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