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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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 ◽

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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 ◽

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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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Sensitivity analysis and model order reduction for random linear dynamical systems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2015.01.003 ◽

2015 ◽

Vol 111 ◽

pp. 80-95 ◽

Author(s):

Roland Pulch ◽

E. Jan W. ter Maten ◽

Florian Augustin

Keyword(s):

Sensitivity Analysis ◽

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems

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Model order reduction and low-dimensional representations for random linear dynamical systems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2017.05.007 ◽

2018 ◽

Vol 144 ◽

pp. 1-20 ◽

Author(s):

Roland Pulch

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems ◽

Low Dimensional

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Stochastic model order reduction in randomly parametered linear dynamical systems

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.07.043 ◽

2017 ◽

Vol 51 ◽

pp. 744-763 ◽

Author(s):

Hridya P. Lal ◽

Sunetra Sarkar ◽

Sayan Gupta

Keyword(s):

Dynamical Systems ◽

Stochastic Model ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems

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Model-order reduction of large-scalekth-order linear dynamical systems via akth-order Arnoldi method

International Journal of Computer Mathematics ◽

10.1080/00207160802130164 ◽

2010 ◽

Vol 87 (2) ◽

pp. 435-453 ◽

Author(s):

Yiqin Lin ◽

Liang Bao ◽

Yimin Wei

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Arnoldi Method ◽

Model Order ◽

Linear Dynamical Systems ◽

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On Padé-type model order reduction of J-Hermitian linear dynamical systems

Linear Algebra and its Applications ◽

10.1016/j.laa.2008.03.003 ◽

2008 ◽

Vol 429 (10) ◽

pp. 2451-2464 ◽

Author(s):

Roland W. Freund

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems

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STOCHASTIC GALERKIN METHODS AND MODEL ORDER REDUCTION FOR LINEAR DYNAMICAL SYSTEMS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2015010171 ◽

2015 ◽

Vol 5 (3) ◽

pp. 255-273 ◽

Author(s):

Roland Pulch ◽

E. Jan W. ter Maten

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Galerkin Methods ◽

Model Order ◽

Linear Dynamical Systems ◽

Stochastic Galerkin

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Stability Preservation in Model Order Reduction of Linear Dynamical Systems

Scientific Computing in Electrical Engineering - Mathematics in Industry ◽

10.1007/978-3-030-44101-2_26 ◽

2020 ◽

pp. 277-285

Author(s):

Roland Pulch

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Linear Dynamical Systems

Download Full-text