1
GATE EE 2015 Set 2
+2
-0.6
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables $$𝑥$$ and $$𝑦.$$ The integration time step is $$h.$$ $${{{x_{k + 1}} - {x_k}} \over h} = {y_k},\,\,\,\,\,{{{y_{k + 1}} - {y_k}} \over h} = {x_k}$$\$

For this discrete-time system, which one of the following statements is TRUE?

A
The system is not stable for $$h>0$$
B
The system is stable for $$h > {1 \over \pi }$$
C
The system is stable for $$0 < h < {1 \over {2\pi }}$$
D
The system is stable for $${1 \over {2\pi }} < h < {1 \over \pi }$$
2
GATE EE 2014 Set 2
Numerical
+2
-0
A system with the open loop transfer function $$G\left( s \right) = {K \over {s\left( {s + 2} \right)\left( {{s^2} + 2s + 2} \right)}}$$ is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of $$K$$ is ________.
3
GATE EE 2014 Set 1
Numerical
+2
-0
For the given system, it is desired that the system be stable. The minimum value of $$\alpha$$ for this condition is _________ 4
GATE EE 2012
+2
-0.6
The feedback system shown below oscillates at $$2$$ rad/s when A
$$K=2$$ and $$a=0.75$$
B
$$K=3$$ and $$a=0.75$$
C
$$K=4$$ and $$a=0.5$$
D
$$K=2$$ and $$a=0.5$$
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
EXAM MAP
Joint Entrance Examination