emgr

emgr - EMpirical GRamian Framework. In control and system theory the system Gramian matrices of linear input-output systems have wide-spread use, for example in: model reduction, decentralized control, optimal placement, sensitivity analysis or parameter identification. Empirical Gramian matrices correspond to the (linear) system Gramians, but extend to parametric and nonlinear systems due to their data-driven computation. The empirical Gramian framework is a compact open-source toolbox compatible with MATLAB and OCTAVE.

This software is also referenced in ORMS.

Keywords for this software

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References in zbMATH (referenced in 13 articles , 2 standard articles )

Showing results 1 to 13 of 13.
Sorted by year (citations)

  1. Haasdonk, Bernard: MOR software (2021)
  2. Himpe, Christian: Comparing (empirical-Gramian-based) model order reduction algorithms (2021)
  3. Kawano, Yu; Scherpen, Jacquelien M. A.: Empirical differential Gramians for nonlinear model reduction (2021)
  4. Christian Himpe, Sara Grundel, Peter Benner: Model Order Reduction for Gas and Energy Networks (2020) arXiv
  5. Benner, Peter; Himpe, Christian: Cross-Gramian-based dominant subspaces (2019)
  6. Xiao, Zhi-Hua; Jiang, Yao-Lin; Qi, Zhen-Zhong: Finite-time balanced truncation for linear systems via shifted Legendre polynomials (2019)
  7. Himpe, Christian: \textttemgr-- the empirical Gramian framework (2018)
  8. Himpe, Christian; Leibner, Tobias; Rave, Stephan: Hierarchical approximate proper orthogonal decomposition (2018)
  9. Bouvrie, Jake; Hamzi, Boumediene: Kernel methods for the approximation of nonlinear systems (2017)
  10. Christian Himpe: emgr - The Empirical Gramian Framework (2016) arXiv
  11. Himpe, Christian; Ohlberger, Mario: Cross-Gramian-based combined state and parameter reduction for large-scale control systems (2014)
  12. Christian Himpe; Mario Ohlberger: A Unified Software Framework for Empirical Gramians (2013) not zbMATH
  13. Himpe, Christian; Ohlberger, Mario: A unified software framework for empirical Gramians (2013)