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

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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.
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KALYAN ACHARJYA
KALYAN ACHARJYA on 4 Mar 2021
Edited: KALYAN ACHARJYA on 4 Mar 2021
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?
Happy Learning!
:)

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