$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

S. Gugercin; A. C. Antoulas; C. Beattie

doi:10.1137/060666123

$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/060666123 ◽

2008 ◽

Vol 30 (2) ◽

pp. 609-638 ◽

Cited By ~ 346

Author(s):

S. Gugercin ◽

A. C. Antoulas ◽

C. Beattie

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Linear Dynamical Systems

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A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01521-0 ◽

2021 ◽

Author(s):

M. A. Hamadi ◽

K. Jbilou ◽

A. Ratnani

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Reduction Method ◽

Arnoldi Method ◽

Block Arnoldi

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Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109845 ◽

2021 ◽

Vol 424 ◽

pp. 109845

Author(s):

Youngsoo Choi ◽

Peter Brown ◽

William Arrighi ◽

Robert Anderson ◽

Kevin Huynh

Keyword(s):

Dynamical Systems ◽

Large Scale ◽

Space Time ◽

Reduced Order Model ◽

Boltzmann Transport ◽

Order Model ◽

Linear Dynamical Systems ◽

Reduced Order ◽

Transport Problems

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A Tangential Block Lanczos Method for Model Reduction of Large-Scale First and Second Order Dynamical Systems

Journal of Scientific Computing ◽

10.1007/s10915-019-01032-y ◽

2019 ◽

Vol 81 (1) ◽

pp. 513-536

Author(s):

K. Jbilou ◽

Y. Kaouane

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Lanczos Method ◽

Second Order ◽

Block Lanczos ◽

Block Lanczos Method

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Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2020.132614 ◽

2020 ◽

Vol 412 ◽

pp. 132614

Author(s):

Han Gao ◽

Jian-Xun Wang ◽

Matthew J. Zahr

Keyword(s):

Deep Learning ◽

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Model reduction for large-scale dynamical systems via equality constrained least squares

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.03.006 ◽

2010 ◽

Vol 234 (8) ◽

pp. 2420-2431 ◽

Cited By ~ 5

Author(s):

Yu’e An ◽

Chuanqing Gu

Keyword(s):

Dynamical Systems ◽

Least Squares ◽

Model Reduction ◽

Large Scale ◽

Constrained Least Squares ◽

Equality Constrained Least Squares

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Decentralised adaptive robust control of uncertain large-scale non-linear dynamical systems with time-varying delays

IET Control Theory and Applications ◽

10.1049/iet-cta.2011.0015 ◽

2012 ◽

Vol 6 (5) ◽

pp. 629 ◽

Cited By ~ 39

Author(s):

H. Wu

Keyword(s):

Robust Control ◽

Dynamical Systems ◽

Large Scale ◽

Adaptive Robust Control ◽

Time Varying ◽

Linear Dynamical Systems ◽

Non Linear

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ℋ2 Optimal model reduction of linear dynamical systems

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717292 ◽

2010 ◽

Author(s):

Mian Ilyas Ahmad ◽

Imad Jaimoukha ◽

Michalis Frangos

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Optimal Model ◽

Linear Dynamical Systems

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Model Reduction of Large-Scale Dynamical Systems

Computational Science - ICCS 2004 - Lecture Notes in Computer Science ◽

10.1007/978-3-540-24688-6_96 ◽

2004 ◽

pp. 740-747 ◽

Cited By ~ 10

Author(s):

A. Antoulas ◽

D. Sorensen ◽

K. A. Gallivan ◽

P. Van Dooren ◽

A. Grama ◽

...

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale

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Interpolatory Model Reduction of Large-Scale Dynamical Systems

Efficient Modeling and Control of Large-Scale Systems ◽

10.1007/978-1-4419-5757-3_1 ◽

2010 ◽

pp. 3-58 ◽

Cited By ~ 54

Author(s):

Athanasios C. Antoulas ◽

Christopher A. Beattie ◽

Serkan Gugercin

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale

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A Computational Global Tangential Krylov Subspace Method for Model Reduction of Large-Scale MIMO Dynamical Systems

Journal of Scientific Computing ◽

10.1007/s10915-017-0601-x ◽

2017 ◽

Vol 75 (3) ◽

pp. 1614-1632 ◽

Cited By ~ 2

Author(s):

A. H. Bentbib ◽

K. Jbilou ◽

Y. Kaouane

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Krylov Subspace ◽

Krylov Subspace Method ◽

Subspace Method ◽

Mimo Dynamical Systems

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