engineering recuitment RVUNL JEn (RSEB) Mock Tests 2025 Control Systems State Space Analysis Solution To the State Equation
The state equation of a system is\( \overline {\dot X} = \bar A\bar X + \bar B\bar U\) Where The state\({\rm{\bar A}} = \left[ {\;\begin{array}{*{20}{c}} 1&0\\ 1&1 \end{array}} \right]\) transition matrix is
1
\(\left[ {\begin{array}{*{20}{c}} {t{e^t}}&0\\ {{e^t}}&{{e^t}} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} {t{e^{ - t}}}&0\\ {{e^{ - t}}}&{{e^{ - t}}} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} {{e^{ - t}}}&0\\ {t{e^{ - t}}}&{{e^{ - t}}} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} {{e^t}}&0\\ {t{e^t}}&{{e^t}} \end{array}} \right]\)
5
\(\left[ {\begin{array}{*{20}{c}} {{e^t}}&t\\ {t{e^t}}&{{e^t}} \end{array}} \right]\)