Hi,
I calculated this:
LTI system:
A={{0,1},{1,0}}
B={{0},{-2}})
C={{1,0}}
D={}
I use Octave, so eig(A) = [-1;1] which means unstable.
Let's use pole placement P=[-1,-1] to compute K
K=place(A,B,P);
K={{-1,-1}}
Now we can compute our new transformation matrix A_dash:
A_dash=A-B*K...