I have recently been working on how to convert ODES into state space form, and I came across this problem that has me confused. Should B in the state space be [1; -2] or [1 0; 0 -2]?
I think the second one should be correct, but when I try to calculate the value of a when the system is controllable. controllability matrix is not a square matrix, which leads me not to be able to use determinants to determine. What other way is there to determine whether the matrix is controllable?
Can people help me with this?