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 9 articles , 2 standard articles )

Showing results 1 to 9 of 9.
Sorted by year (citations)

  1. Benner, Peter; Himpe, Christian: Cross-Gramian-based dominant subspaces (2019)
  2. Xiao, Zhi-Hua; Jiang, Yao-Lin; Qi, Zhen-Zhong: Finite-time balanced truncation for linear systems via shifted Legendre polynomials (2019)
  3. Himpe, Christian: \textttemgr-- the empirical Gramian framework (2018)
  4. Himpe, Christian; Leibner, Tobias; Rave, Stephan: Hierarchical approximate proper orthogonal decomposition (2018)
  5. Bouvrie, Jake; Hamzi, Boumediene: Kernel methods for the approximation of nonlinear systems (2017)
  6. Christian Himpe: emgr - The Empirical Gramian Framework (2016) arXiv
  7. Himpe, Christian; Ohlberger, Mario: Cross-Gramian-based combined state and parameter reduction for large-scale control systems (2014)
  8. Christian Himpe; Mario Ohlberger: A Unified Software Framework for Empirical Gramians (2013) not zbMATH
  9. Himpe, Christian; Ohlberger, Mario: A unified software framework for empirical Gramians (2013)