railway DFCCIL Executive 2025 Mock Test Control Systems State Space Analysis State Transition Matrix
If the system matrix of the control system is given as A = \(\begin{bmatrix} -2 & 0\\ 0 & -2 \end{bmatrix}\) and input matrix B = [0 1] and the output matrix as C = [1 3], then the state transition matrix is given by:
1
\(\left[\begin{array}{cc} e ^{−2 t} & 0 \\ 0 & e ^{2 t }\end{array}\right]\)
2
\(\left[\begin{array}{cc}e^{2 t} & 0 \\ 0 & e^{−2 t}\end{array}\right]\)
3
\(\left[\begin{array}{cc}e^{−2 t} & 0 \\ 0 & e^{−2 t}\end{array}\right]\)
4
\(\left[\begin{array}{cc}e^{2 t} & 0 \\ 0 & e^{2 t}\end{array}\right]\)