Model Reduction for Norm Approximation: An Application to Large-Scale Time-Delay Systems

@inproceedings{Duff2016ModelRF,
  title={Model Reduction for Norm Approximation: An Application to Large-Scale Time-Delay Systems},
  author={Igor Pontes Duff and Pierre Vuillemin and Charles Poussot-Vassal and Corentin Briat and C{\'e}dric Seren},
  year={2016}
}
The computation of \(\mathscr {H}_2\) and \(\mathscr {H}_{2,\varOmega }\) norms for LTI Time-Delay Systems (TDS) are important challenging problems for which several solutions have been provided in the literature. Several of these approaches, however, cannot be applied to systems of large dimension because of the inherent poor scalability of the methods, e.g., LMIs or Lyapunov-based approaches. When it comes to the computation of frequency-limited norms, the problem tends to be even more… CONTINUE READING

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