engineering recuitment GATE EE 2023-24 Test Series Control Systems State Space Analysis State Space Representation
A system is represented by the following state-space equations.
\(\begin{bmatrix} \dot{x_1}\\ \dot{x_2} \end{bmatrix} = \begin{bmatrix} 0 & 1\\ k & -4 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}+\begin{bmatrix} 0\\ 1 \end{bmatrix}r\;\)
Find the value of k for which the system becomes underdamped.
1
k < -4
2
k > -4
3
k > 4
4
K < 4