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The Hankel-norm approximation is a model reduction method which provides thebest approximation in the Hankel semi-norm. In this paper the computation ofthe optimal Hankel-norm approximation is generalized to the case of lineartime-invariant continuous-time descriptor systems. An efficient algorithm isdeveloped by refining the generalized balanced truncation square root method.For a wide practical usage, adaptations of the introduced algorithm towardsstable computations and sparse systems are made as well as an approach for aprojection-free algorithm. To show the approximation behavior of the introducedmethod, numerical examples are presented.

Hankel-Norm Approximation of Large-Scale Descriptor Systems