LMIs in Control/pages/Hankel Norm 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


where   is the controllability Gramian, i.e.,  .




The Hanakel norm (i.e., the square root of the maximum eigenvalue) of   is less than   if and only if the above LMI holds and the value function returns the maximum provable Hankel norm.


  is assumed to be zero.

External LinksEdit

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