Number of poles and rank of controllability matrix

1. Oct 13, 2011

lampus

Hi!
I have a little problem. I have an exercise where it's said that the tranfer function gives 3 poles and the rank of the controllability matrix is 4.

The question are: how many state has the sistem?
Is it controllable?
Is it observable?

My solution were...the number of state is at least 4.
If it's of 4th order, then it's controllable, but not observable.
If is of higher order....no idea!!!!

2. Oct 14, 2011

CEL

I agree with your answer. There are three observable and four controllable modes.