Working with inverses in YALMIP

[Meher]

Dear Sir,

I would like to solve an inequality of the form

Z'P+PZ<0 where Z= {inv(I-MK)}*(A+BKC)

where K is the sdpvar variable I am solving for. Rest of the matrices can be assumed to be known. Kindly let me know of the process to solve such a problem. 

[Johan Löfberg]

You cannot work with inverses in a nice way. Can't you perform some clever variable change or something?

Worst case, write it as a nonconvex bilinear equality with a new variable W satisfying W*(I-MK) == I, and try to attack it using pensdp or bmibnb (it is most likely doomed to fail though)