Order Reduction in Linear Dynamical Systems by Using Improved Balanced Realization Technique
Sign Up to like & getrecommendations! Published in 2019 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-019-01109-x
Abstract: AbstractIn this article, a new model order reduction scheme is proposed for the simplification of large-scale linear dynamical models. The proposed technique is based on the balanced realization method, in which the steady-state gain problem… read more here.
Keywords: order reduction; reduction; technique; balanced realization ... See more keywords
A parameter-averaging approach to converter system order reduction
Sign Up to like & getrecommendations! Published in 2021 at "Electrical Engineering"
DOI: 10.1007/s00202-020-01212-2
Abstract: In this study, we propose a parameter-averaging-based modeling (PAM) method using the state-space theory for high-order power converters with multiple dynamic components, e.g., inductors and capacitors. With the proposed PAM method, we aim to reduce… read more here.
Keywords: order; parameter averaging; order reduction; converter ... See more keywords
The Lagrangian Order-Reduction Theorem in Field Theories
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3129-5
Abstract: It is known that for every system of variational second order PDEs affine in second derivatives the Tonti Lagrangian is locally reducible to an equivalent first order Lagrangian (Order reduction Theorem). In this paper, a… read more here.
Keywords: reduction theorem; order; lagrangian order; order reduction ... See more keywords
Randomized model order reduction
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-09655-9
Abstract: The singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensional model… read more here.
Keywords: decomposition; model; order reduction; model order ... See more keywords
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
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DOI: 10.1007/s10543-021-00879-8
Abstract: It is well known that Lawson methods suffer from a severe order reduction when integrating initial boundary value problems where the solutions are not periodic in space or do not satisfy enough conditions of annihilation… read more here.
Keywords: initial boundary; order; order reduction; lawson methods ... See more keywords
Model Order Reduction via Moment-Matching: A State of the Art Review
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DOI: 10.1007/s11831-021-09618-2
Abstract: The past few decades have seen a significant spurt in developing lower-order, parsimonious models of large-scale dynamical systems used for design and control. These surrogate models effectively capture the most interesting dynamic features of the… read more here.
Keywords: model order; moment matching; order; order reduction ... See more keywords
A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.03.048
Abstract: Abstract In this paper, a Krylov subspace method based on multi-moment matching is utilized for model order reduction of large-scale second order bilinear systems. Accordingly, model order reduction procedure will be directly applied to second… read more here.
Keywords: order; second order; method; model order ... See more keywords
Model Order Reduction of Glucose-Insulin Homeostasis Using Empirical Gramians and Balanced Truncation
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DOI: 10.1016/j.ifacol.2017.08.2576
Abstract: Abstract In this contribution, a novel method for model order reduction is presented. Since biological systems are often highly nonlinear or having a high number of parameters, the concept of empirical Gramians is considered for… read more here.
Keywords: reduction; model order; order reduction; balanced truncation ... See more keywords
Model Order Reduction for Parameter Dependent Substructured Systems using Krylov Subspaces
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DOI: 10.1016/j.ifacol.2018.03.093
Abstract: Abstract During the development of technical products, different components are usually designed and modelled in different departments leading to a modular setup of technical systems and simulation models. Therefore, it is desirable to perform model… read more here.
Keywords: parameter; model order; order reduction;
A Model Order Reduction Algorithm for Estimating the Absorption Spectrum
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DOI: 10.1021/acs.jctc.7b00402
Abstract: The ab initio description of the spectral interior of the absorption spectrum poses both a theoretical and computational challenge for modern electronic structure theory. Due to the often spectrally dense character of this domain in… read more here.
Keywords: model order; absorption spectrum; order; order reduction ... See more keywords
Review of Model Order Reduction Methods and Their Applications in Aeroelasticity Loads Analysis for Design Optimization of Complex Airframes
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Aerospace Engineering"
DOI: 10.1061/(asce)as.1943-5525.0000972
Abstract: AbstractIdentification of an aircraft critical loads envelope requires a lengthy and rigorous analysis procedure that includes simulating the aircraft in thousands of load cases identified in certi... read more here.
Keywords: review model; methods applications; order reduction; model order ... See more keywords