1
GATE ECE 2015 Set 1
Numerical
+1
-0
A unity negative feedback system has the open-loop transfer function $$G\left(s\right)\;=\;\frac K{s\left(s\;+\;1\right)\left(s\;+\;3\right)}$$$The value of the gain K (>0) at which the root locus crosses the imaginary axis is _________. Your input ____ 2 GATE ECE 2014 Set 1 Numerical +1 -0 The forward path transfer function of a unity negative feedback system is given by $$G\left(s\right)\;=\;\frac k{\left(s\;+\;2\right)\left(s\;-\;1\right)}$$$ The value of K which will place both the poles of the closed-loop system at the same location, is ______.
3
GATE ECE 2013
+1
-0.3
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
A
All the poles of the system must lie on the left side of the jω axis
B
Zeros of the system can lie anywhere in the s-plane
C
All the poles must lie within $$\left|s\right|\;=\;1$$
D
All the roots of the characteristic equation must be located on the left side of the jω axis
4
GATE ECE 2013
+1
-0.3
A polynomial $$f\left(x\right)\;=\;a_4x^4\;+\;a_3x^3\;+\;a_2x^2\;+\;a_1x\;-\;a_0$$ with all coefficients positive has
A
no real roots
B
no negative real root
C
odd number of real roots
D
at least one positive and one negative real root
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
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