How to get the desired range of eigenvalues of a control system?

I want to solve the control system with the desired range of eigenvalues. The control system is given in simulink as follows:

The controller S is given in DT as(you can implement it on simulink):

where the matrices and sample time are:

The controller has the eigenvalues K=[k1,k2] such that following requirements are satisfied.

• The rise time is tr <= 1.3 seconds.
• Maximum overshoot s <= 0.17
• absolute(K1) <= 0.9333 , absolute(K2)<=26.6 *by absolute I mean neglect the sign . The requirement can be satisfied y decreasing the desired damping and natural frequency or the values of Q matrix.
• Please indicate to me which inequality is satisfied.

1. k2 >= -0.000k1 + 3.920 and k2 >= -19.745k1 + 3.920
2. k2 <= -0.000k1 + 3.920 and k2 >= -19.745k1 + 3.920
3. k2 >= -0.000k1 + 3.920 and k2 <= -19.745k1 + 3.920

also indicate if system is controllable. I shall be very thankful if someone can solve this problem.I have provided the sample code below.

if true
  K=place(A,B,[....place...eigenvalues])
eig(A-(B*K))
L=acker(A',C',5*eig(A-B*K))'
Ao=A-L*C
Bo=[L B]
Co=eye(2)
Do=zeros(2,2)
eig(Ao)
end