1
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A network is described by the state model as
$$$\eqalign{
& {\mathop x\limits^ \bullet _1} = 2{x_1} - {x_2} + 3u, \cr
& \mathop {{x_2}}\limits^ \bullet = - 4{x_2} - u, \cr
& y = 3{x_1} - 2{x_2} \cr} $$$
the transfer function H(s)$$\left[ { = {{Y\left( s \right)} \over {U\left( s \right)}}} \right]is$$
2
GATE ECE 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
The state transition matrix $$\phi \left( t \right)$$ of a system $$$\left[ {\matrix{
{\mathop {{x_1}}\limits^ \bullet } \cr
{\mathop {{x_2}}\limits^ \bullet } \cr
} } \right] = \left[ {\matrix{
0 & 1 \cr
0 & 0 \cr
} } \right]\left[ {\matrix{
{{x_1}} \cr
{{x_2}} \cr
} } \right] is$$$
3
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The state equation of a second-order linear system is given by $$\mathop x\limits^ \bullet \left( t \right) = Ax\left( t \right),x\left( 0 \right) = {x_0}.$$
For $${x_0} = \left[ {\matrix{ 1 \cr { - 1} \cr } } \right],x\left( t \right) = \left[ {\matrix{ {{e^{ - t}}} \cr { - {e^{ - t}}} \cr } } \right]$$ and for $${x_0} = \left[ {\matrix{ 0 \cr 1 \cr } } \right],x\left( t \right) = \left[ {\matrix{ {{e^{ - t}}} & { - {e^{ - 2t}}} \cr { - {e^{ - t}}} & { + 2{e^{ - 2t}}} \cr } } \right]$$ when $${x_0} = \left[ {\matrix{ 3 \cr 5 \cr } } \right],x\left( t \right)$$ is
For $${x_0} = \left[ {\matrix{ 1 \cr { - 1} \cr } } \right],x\left( t \right) = \left[ {\matrix{ {{e^{ - t}}} \cr { - {e^{ - t}}} \cr } } \right]$$ and for $${x_0} = \left[ {\matrix{ 0 \cr 1 \cr } } \right],x\left( t \right) = \left[ {\matrix{ {{e^{ - t}}} & { - {e^{ - 2t}}} \cr { - {e^{ - t}}} & { + 2{e^{ - 2t}}} \cr } } \right]$$ when $${x_0} = \left[ {\matrix{ 3 \cr 5 \cr } } \right],x\left( t \right)$$ is
4
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the state space system expressed by the signal flow diagram shown in the figure.
The corresponding system is
Questions Asked from State Space Analysis (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2024 (1)
GATE ECE 2018 (1)
GATE ECE 2017 Set 2 (1)
GATE ECE 2016 Set 3 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 3 (1)
GATE ECE 2014 Set 4 (1)
GATE ECE 2014 Set 3 (1)
GATE ECE 2014 Set 2 (2)
GATE ECE 2014 Set 1 (1)
GATE ECE 2013 (2)
GATE ECE 2012 (1)
GATE ECE 2011 (1)
GATE ECE 2010 (2)
GATE ECE 2008 (1)
GATE ECE 2007 (3)
GATE ECE 2006 (1)
GATE ECE 2004 (3)
GATE ECE 2003 (1)
GATE ECE 1999 (1)
GATE ECE 1997 (1)
GATE ECE 1992 (1)
GATE ECE 1991 (1)
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Communications
Electromagnetics
General Aptitude