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This question belongs to Electronics And Communications Engineering Control Systems

Control Systems

?

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 & Solution

Correct Answer: Option D

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