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LMIs in Control/Click here to continue/LMIs in system and stability Theory/Quadratic Stability Margins
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
The System
The Data
The matrices .
The Optimization Problem
The LMI:
Conclusion:
If there exists an then the system is quadratically stable, and the stability margin is the largest such .
Implementation
https://github.com/mcavorsi/LMI
Related LMIs
Parametric, Norm-Bounded Uncertain System Quadratic Stability
Stability of Structured, Norm-Bounded Uncertainty
Stability under Arbitrary Switching
External Links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.
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