1
GATE ECE 2022
MCQ (Single Correct Answer)
+2
-0.67
Consider an even polynomial p(s) given by
$$p(s) = {s^4} + 5{s^2} + 4 + K$$
where K is an unknown real parameter. The complete range of K for which p(s) has all its roots on the imaginary axis is __________.
2
GATE ECE 2017 Set 2
Numerical
+2
-0
A unity feedback control system is characterized by the open-loop transfer function
$$$G\left(s\right)\;=\;\frac{2\left(s+1\right)}{s^3+ks^2+2s+1}$$$
The value of k for which the system oscillates at 2 rad/s is ________.
Your input ____
3
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following options correctly describes the locations of the roots of the
equation s4 + s2 + 1 = 0
on the complex plane?
4
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control
system are given as
The range of K for which the system is stable is
The range of K for which the system is stable isGATE ECE Subjects
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Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Fourier Transform Representation of Continuous Time Signal Fourier Series Transmission of Signal Through Continuous Time LTI Systems Miscellaneous Sampling Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Discrete Time Signal Z Transform Transmission of Signal Through Discrete Time Lti Systems
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