gramian/emgr gramian/emgr

EMpirical GRamian Framework

Host: GitHub

License: BSD-2-Clause

Language: Matlab

Keywords: empirical, gramian

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Empirical Gramian Framework (Version 5.0) DOI badge

Empirical gramians can be computed for linear and nonlinear state-space control systems for purposes of model order reduction (MOR), system identification (SYSID) and uncertainty quantification (UQ). Model reduction using empirical gramians can be applied to the state-space, to the parameter-space or both through combined reduction. For state reduction, balanced truncation of the empirical controllability gramian and the empirical observability gramian, or alternatively, direct truncation (approximate balancing) of the empirical cross gramian (or the empirical linear cross gramian for large-scale linear systems) is available. For parameter reduction, parameter identification and sensitivity analysis the empirical sensitivity gramian (controllability of parameters) or the empirical identifiability gramian (observability of parameters) are provided. Combined state and parameter reduction is enabled by the empirical joint gramian, which computes controllability and observability of states (cross gramian) and observability of parameters (cross-identifiability gramian) concurrently. The empirical gramian framework - emgr is a compact open-source toolbox for (empirical) GRAMIAN-based model reduction and compatible with OCTAVE and MATLAB. emgr provides a common interface for the computation of empirical gramians and empirical covariance matrices.

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Christian Himpe

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v5.0 October 20, 2016
v4.0 June 28, 2016
v3.9 February 25, 2016
v3.8 December 12, 2015
v3.6 October 26, 2015
v3.5 September 30, 2015
v3.1 May 05, 2015
v2.2 June 03, 2014
v2.1 May 21, 2014
v2.0 April 11, 2014

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