411 REFERENCE · Wikibooks
LMIs in Control/LMI for Polytopic Uncertainity/Polytopic Quadratic Stability
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
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.
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes.
LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.
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