LMIs in Control/Parametric, Norm-Bounded Uncertain System Quadratic Stability (dual version)
LMIs in Control/Parametric, Norm-Bounded Uncertain System Quadratic Stability (dual version)
The System edit
The Data edit
The matrices .
The LMI: The Lyapunov Inequality edit
Conclusion: edit
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 edit
A link to CodeOcean or other online implementation of the LMI
Related LMIs edit
Links to other closely-related LMIs
External Links edit
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.