The state-space representation for a system is given by:
\(\dot x = \left[ {\begin{array}{*{20}{c}} 0&1&0\\ 0&0&1\\ 0&{ - 36}&{ - 15} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 0\\ 1 \end{array}} \right]u\)
y = [1000 100 0] x
Which of the following statements is/are true?
1
The system is stable
2
The closed-loop poles lie on the right half of the s-plane are 2.
3
The closed-loop poles lie on the left half of s-plane are 2 and one pole is at the origin
4
The system is marginally stable