LMIs in Control/Click here to continue/LMIs in system and stability Theory/Stability of Quadratic Constrained Systems

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

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