LMIs in Control/pages/Stability of Quadratic Constrained Systems
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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]
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.