1
GATE EE 2002
MCQ (Single Correct Answer)
+2
-0.6
For the system $$X = \left[ {\matrix{ 2 & 3 \cr 0 & 5 \cr } } \right]X + \left[ {\matrix{ 1 \cr 0 \cr } } \right]u,$$ Which of the following statement is true?
A
The system is controllable but unstable
B
The system is uncontrollable and unstable
C
The system is controllable and stable
D
The system is uncontrollable and stable
2
GATE EE 2002
MCQ (Single Correct Answer)
+2
-0.6
For the system $$\mathop X\limits^ \bullet = \left[ {\matrix{ 2 & 0 \cr 0 & 4 \cr } } \right]X + \left[ {\matrix{ 1 \cr 1 \cr } } \right]u;\,\,\,y = \left[ {\matrix{ 4 & 0 \cr } } \right]X,\,$$ with u as unit impulse and with zero initial state, the output, $$y$$, becomes
A
$$2{e^{2t}}$$
B
$$4{e^{2t}}$$
C
$$2{e^{4t}}$$
D
$$4{e^{4t}}$$
GATE EE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12