LMIs in Control/pages/Stability of Quadratic Constrained Systems
< LMIs in Control | pages
The System edit
The Data edit
The matrices .
The LMI: edit
The following feasibility problem should be solved.
Implementation edit
https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/38f3b55ca7060a1260384a96e9dc31142af07a9a
Conclusion edit
The integral quadratic constrained system is stable if the provided LMI is feasible
Remark edit
The key point of the proof is to satisfy whenever , using -procedure.
External Links edit
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
- LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes.
- LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.