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ECE · Q185

Control Systems

Engineering and GATE · ECE · question 185

Q185

Identify the matrix that can be a state transition matrix.

A.
\phi = \left[ {\begin{array}{*{20}{c}} {{e^{ - t}}}&0\\ 1&{{e^{ - 2t}}} \end{array}} \right]
B.
\phi = \left[ {\begin{array}{*{20}{c}} {{e^t}}&t\\ 1&{2{e^{ - t}}} \end{array}} \right]
C.
\phi = \left[ {\begin{array}{*{20}{c}} {{e^t} + {e^{ - t}}}&0\\ 0&{2{e^{ - t}}} \end{array}} \right]
D.
\phi = \left[ {\begin{array}{*{20}{c}} {{e^{ - t}}}&0\\ 0&{{e^{ - 2t}}} \end{array}} \right]
Answer

Answer: Option D

Solution

Answer: Option D
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