1
GATE ECE 2016 Set 1
Numerical
+2
-0
The transfer function of a linear time invariant system is given by $$H\left(s\right)\;=\;2s^4\;-\;5s^3\;+\;5s\;-\;2$$. The number of zeros in the right half of the s-plane is __________.
2
GATE ECE 2015 Set 3
Numerical
+2
-0
The characteristic equation of an LTI system is given by
F(s) = s5 + 2s4 +3s3 + 6s2 - 4s - 8 = 0.The number of roots that lie strictly in the left half s-plane is _____.
3
GATE ECE 2015 Set 1
+2
-0.6
A plant transfer function is given as $$G\left(s\right)=\left(K_p+\frac{K_1}s\right)\left(\frac1{s\left(s+2\right)}\right)$$\$ . When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is
A
$$K_p>\frac{K_1}2>0$$
B
$$2K_1>K_p>0$$
C
$$2K_1\;<\;K_p$$
D
$$2K_1>K_p$$
4
GATE ECE 2014 Set 4
Numerical
+2
-0
Consider a transfer function $$G_p\left(s\right)\;=\;\frac{ps^2+3ps\;-2}{s^2+\left(3+p\right)s\;+\left(2-p\right)}$$ with 'p' a positive real parameter. The maximum value of 'p' until which Gp remains stable is ________.