Solve LMIs control in delay system
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I need to find maximum  to exist matrices  P>0, Z>0 and Q symmetric such that
 to exist matrices  P>0, Z>0 and Q symmetric such that
 to exist matrices  P>0, Z>0 and Q symmetric such that
 to exist matrices  P>0, Z>0 and Q symmetric such that
and

where 

How to solve this problem
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