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

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The System[edit | edit source]

Consider the set of matrices
,


The Data[edit | edit source]

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


,


Implementation[edit | edit source]

This is used to get open-loop stability.


Related Links[edit | edit source]

References[edit | edit source]

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