Minimization of a scalar with respect to a Linear matrix inequality (LMI)

Min x

s.t QA^T+AQ-QC_bar^TC_barQ<0

Where C_bar=C*expm(-A*x). For this A,C are known matrices and Q,x are known. If anyone can help me how to solve this problem, it will be very helpful.

[KALYAN ACHARJYA]

Dear Arnab,

Here: Better for learn, which is a permanent solution, it hardly takes a few hours to start, Have you tried to solve the problem?

https://www.mathworks.com/learn/tutorials/matlab-onramp.html

Happy Learning!

:)