EFFICIENT COMPUTATION OF THE H∞ NORM

An efficient algorithm to compute the H∞-norm of a real rational transfer matrix is presented. This is done by characterizing the property that a certain polynomial has when one of the parameters in the polynomial equals the H∞ norm. This method does not involve the iterations that exist in the present methods involving the Hamiltonian matrix. The new algorithm is then compared with the existing method using an example and the number of floating point operations necessary for the new method turns out to be drastically lower.