so lets suppose we have a state space model
x[k+1] = Ax[k] + Bu[k]
y[k] = Cx[k] + Bu[k]
and we want to design a state feedback, assuming that the system is controllable. so now if we assume that our input
u = -kx
assuming k is the state feedback vector
Our function becomes something like
x[k+1] = (A - Bk)x[n]
Now here (A - Bk) is the new A matrix and if we want to find the eigen values of this system because we have full control over k(if we are choosing K through poleplacement) , My question is that even if we have control over eigen values of this new vector how does that help us control the system i.e. to bring our system to our desired state?
