LMIs in Control/pages/L2 gain of Lure systems

The System

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The Data

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The matrices  .


The Optimization Problem:

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The following semi-definite problem should be solved.

 

Implementation

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https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/12a7039f9e3d966e24b43fd58a3cce3725282ed2

Conclusion

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The value function returns the square of the smallest provable upper bound on the   gain of the Lure's system.

Remark

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The Lyapunov function which is used to proof is similar to the one for the systems with unknown parameters.

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Return to Main Page:

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