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LMIs in Control/Click here to continue/LMIs in system and stability Theory/Circular Region D-Admissibility
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The System
Consider and where The pair is D-admissible with if and only if there exist and such that and
The LMI (Constraint)
where is the pseudoinverse of . The region D describes a circular region of the complex plane with radius centered at where
Reference
Caverly, Ryan; Forbes, James (2021). LMI Properties and Applications in Systems, Stability, and Control Theory.