A linear constant parameter continuous-time system has the following A matrix in its state representation \[\mathop {\rm{X}}\limits^ \cdot = {\rm{AX}} + {\rm{Bu}}{\rm{.}}\]
\[{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
0&\alpha \\
\alpha &0
\end{array}} \right]\]
Which one of the following is the natural response of the system following the application of any input?
A. Meαt + Ne-αt
B. (M + Nt)eαt
C. (M + Nt)e-αt
D. Mcosαt + Nsinαt
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Control Systems
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