User:Margav06/sandbox/Click here to continue/LMIs in system and stability Theory/Stability under Arbitrary Switching
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 edit
The Data edit
The matrices .
The LMI edit
Conclusion edit
The switched system is stable under arbitrary switching if there exists some P > 0 such that the LMIs hold.
Implementation edit
Related LMIs edit
Parametric, Norm-Bounded Uncertain System Quadratic Stability
External links edit
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.