411 REFERENCE · Wikibooks
LMIs in Control/Click here to continue/LMIs in system and stability Theory/Stability under Arbitrary Switching
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
LMIs in Control/Stability Analysis/Continuous Time/Stability under Arbitrary Switching
Using the LMI below, find a P matrix that fits the constraints. If there exists one, then the system can switch between subsystems and arbitrarily and remain stable.
The System
The Data
The matrices .
The LMI
Conclusion
The switched system is stable under arbitrary switching if there exists some P > 0 such that the LMIs hold.
Implementation
https://github.com/mcavorsi/LMI
Related LMIs
Parametric, Norm-Bounded Uncertain System Quadratic Stability
Stability of Structured, Norm-Bounded Uncertainty
Quadratic Stability Margins
External links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
Return to Main Page