A state space representation of a system is given by
Ẋ = AX + Bu; Y = CX
\(A = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 4}&0 \end{array}} \right],\;\;B = {\left[ {0\;\;\;1} \right]^T},\;\;C = {\left[ {\begin{array}{*{20}{c}} 1\\ { - 1} \end{array}} \right]^T}\)
The time response of the system will be1
0.5 sin 2t + cos 2t
2
0.5 cos 2t – sin 2t
3
0.5 sin 2t – cos 2t
4
0.5 cos 2t + sin 2t