How to solve this LMI using Yalmip??

[jh sheep]

Hi, johan again

After seeing your reply, I wrote the MATLAB code as below to solve equation 14.
--

A=[0 1 0 0;

-48.6 -1.25 12.15 0;

0 0 0 40;

0.195 0 -0.0488 0];

C=[1 0 0 0;

0 1 0 0];

kf=0.333;

Y = sdpvar(4,2);

alpha = sdpvar(1);

P=sdpvar(4,4,'symmetric');

LMI =[A'*P-C'*Y'+P*A-Y*C+alpha*kf^2*eye(4,4) P;

P -alpha*eye(4,4)];

F=[P>0, LMI<0];

L=inv(P)*Y;

--
When F=[~~] is executed, the following error message appears:
'Strict inequalities are not supported. A non-strict has been added instead'

How can it be solved?

[Johan Löfberg]

https://yalmip.github.io/tutorial/basics/