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The open loop transfer function of a unity gain negative feedback system is given by $$G(s) = {k \over {{s^2} + 4s - 5}}... GATE EE 2022 A closed loop system has the characteristic equation given by$${s^3} + K{s^2} + \left( {K + 2} \right)s + 3 = 0.$$For... GATE EE 2017 Set 1 A single-input single-output feedback system has forward transfer function$$𝐺(𝑠)$$and feedback transfer function$$�...
GATE EE 2014 Set 3
In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature ter...
GATE EE 2014 Set 1
The first two rows of Routh's tabulation of a third order equation are as follows $$\left. {\matrix{ {{s^3}} \cr ... GATE EE 2009 The system shown in the figure is ... GATE EE 2007 None of the poles of a linear control system lie in the right half of$$s$$-plane. For a bounded input, the output of th... GATE EE 1998 Closed loop stability implies that$$\left[ {1 + G\left( s \right)H\left( s \right)} \right]$$has only ____________ in ... GATE EE 1995 The closed loop system , of Figure, is stable if the transfer function$$T\left( s \right) = {{C\left( s \right)} \over ...
GATE EE 1994
The number of positive real roots of the equation $${s^3} - 2s + 2 = 0$$ is __________.
GATE EE 1994
For what range of $$K$$ is the following system (Figure) asymptotically stable Assume $$K \ge 0$$ ...
GATE EE 1992

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The range of K for which all the roots of the equation $${s^3} + 3{s^2} + 2s + K = 0$$ are in the left half of the compl...
GATE EE 2017 Set 2
Given the following polynomial equation $${s^3} + 5.5{s^2} + 8.5s + 3 = 0$$ the number of roots of the polynomial which ...
GATE EE 2016 Set 1
The following discrete-time equations result from the numerical integration of the differential equations of an un-dampe...
GATE EE 2015 Set 2
A system with the open loop transfer function $$G\left( s \right) = {K \over {s\left( {s + 2} \right)\left( {{s^2} + 2s ... GATE EE 2014 Set 2 For the given system, it is desired that the system be stable. The minimum value of$$\alpha $$for this condition is __... GATE EE 2014 Set 1 The feedback system shown below oscillates at$$2$$rad/s when ... GATE EE 2012 Figure shows a feedback system where$$K&gt;0$$The range of$$k$$for which system is stable will by given by... GATE EE 2008 If the loop gain$$K$$of a negative feedback system having a loop transfer function$$K\left( {s + 3} \right)/{\left( {...
GATE EE 2007
The algebraic equation $$F\left( s \right) = {s^5} - 3{s^4} + 5{s^3} - 7{s^2} + 4s + 20$$ $$F\left( s \right) = 0$$ ha...
GATE EE 2006
A unity feedback system, having an open loop gain becomes stable when $$G\left( s \right)H\left( s \right) = {{K\left( {... GATE EE 2004 For the equation,$${s^3} - 4{s^2} + s + 6 = 0$$the number of roots in the left half of$$s$$plane will be GATE EE 2004 The loop gain$$GH$$of a closed loop system is given by the following expression$${K \over {s\left( {s + 2} \right)\le...
GATE EE 2003
The number of roots on the equation $$2{s^4} + {s^3} + 3{s^2} + 5s + 7 = 0$$ that lie in the right half of $$S$$ plane i...
GATE EE 1998
Determine whether the system given by the block diagram of Figure, is stable ...
GATE EE 1997
The system represented by the transfer function G\left( s \right) = {{{s^2} + 10s + 24} \over {{s^4} + 6{s^3} - 39{s^2...
GATE EE 1997

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