LMIs in Control/Stability Analysis/Discrete Time/Polytopic Uncertainty/Open-Loop Robust Stability

The System

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Consider the set of matrices
 ,


The Data

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The discrete-time LTI system   is asymptotically stable for all   if there exists   ,  , and   , where   , such that

 
,  


Implementation

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This is used to get open-loop stability.


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References

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Caverly, Ryan; Forbes, James (2021). LMI Properties and Applications in Systems, Stability, and Control Theory.