emgr swMATH ID: 7554 Software Authors: Himpe, Christian Description: 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. Homepage: http://gramian.de/ Dependencies: Octave, Matlab Keywords: model reduction; model order reduction; control system; control theory; empirical gramian; arXiv_cs.MS; arXiv_cs.SY; arXiv_math.OC; 93A15; 93B20; 93C10 Related Software: Matlab; morgen; pyMOR; Octave; hapod; DUNE; MATLAB ODE suite; MathEnergy; Loewner; FEniCSRail; CSparse; StrucID; NumPy; Python; SOMDDPA; libROM; SciPy; LAPACK; FreeMat; GasLib Cited in: 18 Documents This software is also referenced in ORMS. Standard Articles 3 Publications describing the Software, including 1 Publication in zbMATH Year emgr – EMpirical GRamian framework version 5.99. Zbl 07910046Himpe, Christian 2023 emgr - The Empirical Gramian Framework arXiv Christian Himpe 2016 A Unified Software Framework for Empirical Gramians Link Christian Himpe; Mario Ohlberger 2013 all top 5 Cited by 25 Authors 9 Himpe, Christian 4 Benner, Peter 2 Grundel, Sara M. 2 Gugercin, Serkan 2 Jiang, Yaolin 2 Ohlberger, Mario 2 Qi, Zhen-Zhong 2 Xiao, Zhihua 1 Beattie, Christopher A. 1 Bouvrie, Jake 1 Galyaev, I. A. 1 Gosea, Ion Victor 1 Haasdonk, Bernard 1 Hamzi, Boumediene 1 Harbrecht, Helmut 1 Kawano, Yu 1 Kunoth, Angela 1 Leibner, Tobias 1 Rave, Stephan David 1 Scherpen, Jacquelien M. A. 1 Simoncini, Valeria 1 Song, Qiu-Yan 1 Urban, Karsten 1 Werner, Steffen W. R. 1 Yadykin, Igor Borisovich all top 5 Cited in 13 Serials 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 1 ACM Transactions on Mathematical Software 1 Automatica 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 Mathematical Problems in Engineering 1 Oberwolfach Reports 1 Algorithms 1 Journal of Mathematics in Industry 1 Journal of Mathematics all top 5 Cited in 12 Fields 14 Systems theory; control (93-XX) 6 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) Citations by Year