Hankel norm computation for infinite-dimensional H∞ model matching problems

This paper considers the problem of computing the induced L² norm for Hankel operators which are not necessarily compact. Ih the literature such a norm has traditionally been computed by attempting to solve a complex infinite-dimensional eigenvalue-eigenfunction problem. In this paper, it is shown that a sequence of simple finite-dimensional eigenvalue-eigenvector problems can be solved to estimate the desired induced norm.