LMIs in Control/LMI for Polytopic Uncertainity/Polytopic Quadratic Stability

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LMIs in Control/LMI for Polytopic Uncertainity/Polytopic Quadratic Stability


The System: Consider the system with Affine Time-Varying

uncertainty (No input)

where

where lies in either the intervals


or the simplex



The LMI: Polytopic Quadratic Stability


The system is Quadratically Stable over if there exists a P > 0

 for all 


Conclusion: 

Interpretation of the results of the LMI

Implementation A link to CodeOcean or other online implementation of the LMI

Related LMIs

Links to other closely-related LMIs

External Links

A list of references documenting and validating the LMI.


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