1.

From the figure, obtain state equation

A. \(\left[ {\dot X} \right] = \left[ {\begin{array}{*{20}{c}} 0&{ - 3}\\ { - 2}&4 \end{array}} \right]\left[ X \right] + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u\)
B. \(\left[ {\dot X} \right] = \left[ {\begin{array}{*{20}{c}} -2&{ 4}\\ { 0}&-3 \end{array}} \right]\left[ X \right] + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u\)
C. \(\left[ {\dot X} \right] = \left[ {\begin{array}{*{20}{c}} 0&{ - 3}\\ { - 2}&4 \end{array}} \right]\left[ X \right] + \left[ {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right]u\)
D. \(\left[ {\dot X} \right] = \left[ {\begin{array}{*{20}{c}} -2&{ 4}\\ { 0}&-3 \end{array}} \right]\left[ X \right] + \left[ {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right]u\)
Answer» C. \(\left[ {\dot X} \right] = \left[ {\begin{array}{*{20}{c}} 0&{ - 3}\\ { - 2}&4 \end{array}} \right]\left[ X \right] + \left[ {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right]u\)


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