For the system described by the state equation
\(\dot x = \left[ {\begin{array}{*{20}{c}} { - 1}&0\\ { - 2}&1 \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u\;and\;y = \left[ {\begin{array}{*{20}{c}} 0&1 \end{array}} \right]x\)
The control system u is given by u = [-0.5 -1]x + v
A unity negative feedback is applied to make the system a closed-loop system
Which of the following statements is/are true?
1
The eigen-values of the open-loop system are 0, 1
2
The steady-state error in output for a step input is 0
3
The closed-loop system is stable
4
The open-loop system is unstable