engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Control Systems State Space Analysis State Space Representation
Given the homogeneous state space equation \(\dot x = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 1}&{ - 2} \end{array}} \right]x\) and the initial state value \(x\left( 0 \right) = \left[ {\begin{array}{*{20}{c}} {10}\\ { - 10} \end{array}} \right]\)
The steady state values of \({x_{ss1}} = \mathop {\lim }\limits_{t \to \infty } {x_1}\left( t \right)\) and \({x_{ss2}} = \mathop {\lim }\limits_{t \to \infty } {x_2}\left( t \right)\) are
1
0, 0
2
10, 0
3
10, -10
4
0, -10