LMIs in Control/pages/Entropy Bound for Affine Parametric Varying Systems

The SystemEdit

 

where   and   depend affinely on parameter  .

The DataEdit

The matrices  .

The Optimization Problem:Edit

Solve the following semi-definite program

 

ImplementationEdit

https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/02f31a2d7a22b2464dfe9212eb76409bda9439b1

ConclusionEdit

The value function of the above semi-definite program returns a bound for  -entropy of the system, which is defined as

 

RemarkEdit

When it is finite,   is given by   where  , is asymmetric matrix with the smallest possible maximum singular value among all solutions of a Riccati equation.

External LinksEdit


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