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LMIs in Control/Click here to continue/LMIs in system and stability Theory/Stability of Structured, Norm-Bounded Uncertainty
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Given a system with matrices A,M,N,Q with structured, norm-bounded uncertainty, the stability of the system can be found using the following LMI. The LMI takes variables P and and checks for a feasible solution.
The System
The Data
The matrices .
The LMI:
Conclusion:
Implementation
https://github.com/mcavorsi/LMI
Related LMIs
Parametric, Norm-Bounded Uncertain System Quadratic Stability
Stability under Arbitrary Switching
Quadratic Stability Margins
External Links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
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