Interpolatory model reduction techniques for linear second-order descriptor systems

@article{Ahmad2014InterpolatoryMR,
  title={Interpolatory model reduction techniques for linear second-order descriptor systems},
  author={Mian Ilyas Ahmad and Peter Benner},
  journal={2014 European Control Conference (ECC)},
  year={2014},
  pages={1075-1079}
}
Standard interpolatory subspaces for model reduction of linear descriptor systems may produce unbounded ℋ2 or ℋ∞ error. In this paper we investigate this issue and discuss modified interpolatory subspaces based on spectral projectors that ensure bounded errors. In the special case of index-3 descriptor systems, we show how to transform the system to an equivalent system that enables the use of standard interpolatory subspaces for model reduction with bounded errors, but without the explicit… CONTINUE READING

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