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LMIs in Control/Parametric, Norm-Bounded Uncertain System Quadratic Stability (dual version)
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
The System
The Data
The matrices .
The LMI: The Lyapunov Inequality
Conclusion:
The system above is quadratically stable if and only if there exists some mu >= 0 and P > 0 such that the LMI is feasible. This LMI is a good way to determine quadratic stability of a system with parametric, norm-bounded uncertainty.
Implementation
A link to CodeOcean or other online implementation of the LMI
Related LMIs
Links to other closely-related LMIs
External Links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
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