Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations

Michał Rewieński; Jacob White

doi:10.1016/j.laa.2003.11.034

Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations

Linear Algebra and its Applications ◽

10.1016/j.laa.2003.11.034 ◽

2006 ◽

Vol 415 (2-3) ◽

pp. 426-454 ◽

Cited By ~ 64

Author(s):

Michał Rewieński ◽

Jacob White

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Nonlinear Dynamical Systems ◽

Piecewise Linear ◽

Order Reduction ◽

Model Order ◽

Nonlinear Dynamical ◽

Linear Approximations ◽

Piecewise Linear Approximations

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Parameterized model order reduction of nonlinear dynamical systems

ICCAD-2005. IEEE/ACM International Conference on Computer-Aided Design, 2005. ◽

10.1109/iccad.2005.1560117 ◽

2005 ◽

Cited By ~ 28

Author(s):

B. Bond ◽

L. Daniel

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Nonlinear Dynamical Systems ◽

Order Reduction ◽

Model Order ◽

Nonlinear Dynamical ◽

Parameterized Model ◽

Parameterized Model Order Reduction

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Model Order Reduction of Nonlinear Dynamical Systems

Progress in Industrial Mathematics at ECMI 2004 - Mathematics in Industry ◽

10.1007/3-540-28073-1_11 ◽

2006 ◽

pp. 114-118

Author(s):

C. Brennan ◽

M. Condon ◽

R. Ivanov

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Nonlinear Dynamical Systems ◽

Order Reduction ◽

Model Order ◽

Nonlinear Dynamical

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Windowed space–time least-squares Petrov–Galerkin model order reduction for nonlinear dynamical systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.114050 ◽

2021 ◽

Vol 386 ◽

pp. 114050

Author(s):

Yukiko S. Shimizu ◽

Eric J. Parish

Keyword(s):

Dynamical Systems ◽

Least Squares ◽

Model Order Reduction ◽

Nonlinear Dynamical Systems ◽

Order Reduction ◽

Space Time ◽

Model Order ◽

Nonlinear Dynamical

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Model order reduction for random nonlinear dynamical systems and low-dimensional representations for their quantities of interest

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.01.016 ◽

2019 ◽

Vol 166 ◽

pp. 76-92 ◽

Cited By ~ 2

Author(s):

Roland Pulch

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Nonlinear Dynamical Systems ◽

Order Reduction ◽

Model Order ◽

Nonlinear Dynamical ◽

Low Dimensional ◽

Quantities Of Interest

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An iterative model order reduction method for large-scale dynamical systems

ANZIAM Journal ◽

10.21914/anziamj.v59i0.9622 ◽

2017 ◽

Vol 59 ◽

pp. 115

Author(s):

Kouki Mohamed ◽

Abbes Mehdi ◽

Mami Abdelkader

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Large Scale ◽

Reduction Method ◽

Order Reduction ◽

Model Order ◽

Iterative Model ◽

Order Reduction Method

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Randomized low‐rank approximation methods for projection‐based model order reduction of large nonlinear dynamical problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6009 ◽

2019 ◽

Vol 118 (4) ◽

pp. 209-241 ◽

Cited By ~ 11

Author(s):

C. Bach ◽

D. Ceglia ◽

L. Song ◽

F. Duddeck

Keyword(s):

Model Order Reduction ◽

Order Reduction ◽

Low Rank ◽

Approximation Methods ◽

Low Rank Approximation ◽

Model Order ◽

Nonlinear Dynamical ◽

Rank Approximation

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Eine Unschärfe-Relation zwischen Pol-Nullstellen-Verteilung und Eingangs-Ausgangsverhalten linearer dynamischer Systeme und ihre Auswirkungen auf Identifikation, Ordnungsreduktion und Reglerentwurf / The relation between pole-zero location and input-output behaviour of linear dynamical systems and its consequences for identification, model order reduction and controller design

at - Automatisierungstechnik ◽

10.1524/auto.1987.35.112.411 ◽

1987 ◽

Vol 35 (1-12) ◽

Author(s):

P. Hippe ◽

Η. Stahl

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Controller Design ◽

Order Reduction ◽

Input Output ◽

Model Order ◽

Linear Dynamical Systems ◽

Identification Model ◽

Zero Location

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Using model order reduction to accelerate optimization of multi-stage linear dynamical systems

Engineering Optimization 2014 ◽

10.1201/b17488-80 ◽

2014 ◽

pp. 453-458

Author(s):

Yao Yue ◽

Suzhou Li ◽

Lihong Feng ◽

Andreas Seidel-Morgenstern ◽

Peter Benner

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems ◽

Multi Stage

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Quadrature Methods and Model Order Reduction for Sparse Approximations in Random Linear Dynamical Systems

Scientific Computing in Electrical Engineering - Mathematics in Industry ◽

10.1007/978-3-319-75538-0_19 ◽

2018 ◽

pp. 203-217

Author(s):

Roland Pulch

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems ◽

Quadrature Methods ◽

Sparse Approximations

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Balanced Truncation for Model Order Reduction of Linear Dynamical Systems with Quadratic Outputs

SIAM Journal on Scientific Computing ◽

10.1137/17m1148797 ◽

2019 ◽

Vol 41 (4) ◽

pp. A2270-A2295

Author(s):

Roland Pulch ◽

Akil Narayan

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Balanced Truncation ◽

Model Order ◽

Linear Dynamical Systems

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