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