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





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



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

Return to Main Page:Edit