LMIs in Control/Click here to continue/LMIs in system and stability Theory/L2 Gain of Lure's Systems
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The System[edit | edit source]
The Data[edit | edit source]
The matrices .
The Optimization Problem:[edit | edit source]
The following semi-definite problem should be solved.
Implementation[edit | edit source]
https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/12a7039f9e3d966e24b43fd58a3cce3725282ed2
Conclusion[edit | edit source]
The value function returns the square of the smallest provable upper bound on the gain of the Lure's system.
Remark[edit | edit source]
The Lyapunov function which is used to proof is similar to the one for the systems with unknown parameters.
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.