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The Empirical Cross Gramian for Parametrized Nonlinear Systems

MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling, Volume 48(1), page 727--728 - 2015
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The cross gramian matrix can be used for model order reduction as well as system identification of linear control systems, which are frequently used in the sciences. The empirical cross gramian is solely computed from trajectories and hence extends beyond linear state-space systems to nonlinear systems. In this work the applicability of the empirical cross gramian also for parametrized systems is demonstrated and assessed using a nonlinear benchmark problem.

Références BibTex

@InProceedings{HO15b,
  author       = {Himpe, C. and Ohlberger, M.},
  title        = {The Empirical Cross Gramian for Parametrized Nonlinear Systems},
  booktitle    = {MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling},
  series       = {Mathematical Modelling},
  volume       = {48(1)},
  pages        = {727--728},
  year         = {2015},
  publisher    = {IFAC},
  keywords     = {model reduction, model order reduction, cross gramian, empirical gramians, pmor},
  doi          = {10.1016/j.ifacol.2015.05.163},
  url          = \{/2015/HO15b},
}

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