LMIs in Control/pages/Stability of Quadratic Constrained Systems
Appearance
< LMIs in Control | pages
(Redirected from LMIs in Control/pages/Stabilty of Quadratic Constrained Syatems)The System
[edit | edit source]The Data
[edit | edit source]The matrices .
The LMI:
[edit | edit source]The following feasibility problem should be solved.
Implementation
[edit | edit source]https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/38f3b55ca7060a1260384a96e9dc31142af07a9a
Conclusion
[edit | edit source]The integral quadratic constrained system is stable if the provided LMI is feasible
Remark
[edit | edit source]The key point of the proof is to satisfy whenever , using -procedure.
External Links
[edit | edit source]- 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.