1
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

A
always controllable
B
always observable
C
always stable
D
always unstable
2
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the state space model of a system, as given below

The system is

A
controllable and observable.
B
uncontrollable and observable.
C
uncontrollable and unobservable.
D
controllable and unobservable.
3
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The state diagram of a system is shown below. A system is shown below. A system is described by the state variable equations

The state transition matrix eAt of the system shown in the figure above is

A
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr {t{e^{ - t}}} & {{e^{ - t}}} \cr } } \right]$$ v
B
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr { - t{e^{ - t}}} & {{e^{ - t}}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr {{e^{ - t}}} & {{e^{ - t}}} \cr } } \right]$$
D
$$\left[ {\matrix{ {{e^{ - t}}} & { - t{e^{ - t}}} \cr 0 & {{e^{ - t}}} \cr } } \right]$$
4
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The state diagram of a system is shown below. A system is shown below. A system is described by the state variable equations

The state-variable equations of the system shown in the figure above are

A
\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & 0 \cr 1 & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ 1 & { - 1} \cr } } \right]X + u \cr}
B
\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & 0 \cr { - 1} & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ { - 1} & { - 1} \cr } } \right]X + u \cr}
C
\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & 0 \cr { - 1} & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ { - 1} & { - 1} \cr } } \right]X - u \cr}
D
\eqalign{ & \mathop X\limits^ \bullet = \left[ {\matrix{ { - 1} & { - 1} \cr 0 & { - 1} \cr } } \right]X + \left[ {\matrix{ { - 1} \cr 1 \cr } } \right]u \cr & y = \left[ {\matrix{ 1 & { - 1} \cr } } \right]X - u \cr}
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12
Â© ExamGOAL 2024