Given \[A = \left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right]\] the state transition matrix eAt is given by
A. \[\left[ {\begin{array}{*{20}{c}} 0&{{e^{ - t}}}\\ {{e^{ - t}}}&0 \end{array}} \right]\]
B. \[\left[ {\begin{array}{*{20}{c}} {{e^t}}&0\\ 0&{{e^t}} \end{array}} \right]\]
C. \[\left[ {\begin{array}{*{20}{c}} {{e^{ - t}}}&0\\ 0&{{e^{ - t}}} \end{array}} \right]\]
D. \[\left[ {\begin{array}{*{20}{c}} 0&{{e^t}}\\ {{e^t}}&0 \end{array}} \right]\]
Answer: Option B
This Question Belongs to Electronics And Communications Engineering >> Control Systems
In root locus analysis the breakaway and break in points
A. lie on the real axis
B. Either lie on the real axis or occur in complex conjugate pairs
C. Always occur in complex conjugate pairs
D. None of the above
Which of the following features is not associated with Nichols chart?
A. (0 dB, -180°) point on Nichols chart represent critical Point (-1, 0)
B. It is symmetric about -180°
C. M loci are centred about (0 dB, -180°) point
D. The frequency at intersection of G (j$$\omega $$) locus and M = +3 dB locus gives bandwidth of closed loop system
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