LMIs in Control/pages/Dissipativity of Affine Parametric Varying Systems

The System

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where   and   depend affinely on parameter  .

The Data

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The matrices  .

The Optimization Problem:

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Solve the following semi-definite program

 

Implementation

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https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/b6cd6b81f75be4a2052ba3fa76cad1a2f9c49caa

Conclusion

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The dissipativity of   (see [Boyd,eq:6.59]) exceeds   if and only if the above LMI holds and the value function returns the minimum provable dissipativity.

Remark

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It is worth noticing that passivity corresponds to zero dissipativity.

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