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Parametric dynamic mode decomposition for reduced order modeling
Abstract Dynamic Mode Decomposition (DMD) is a model-order reduction approach,
whereby spatial modes of fixed temporal frequencies are extracted from numerical or …
whereby spatial modes of fixed temporal frequencies are extracted from numerical or …
AI-Based Model Order Reduction Techniques: A Survey
Abstract Model Order Reduction (MOR) techniques play a crucial role in reducing the
computational complexity of high-dimensional mathematical models, enabling efficient …
computational complexity of high-dimensional mathematical models, enabling efficient …
Order reduction in linear dynamical systems by using improved balanced realization technique
AK Prajapati, R Prasad - Circuits, Systems, and Signal Processing, 2019 - Springer
In 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 …
scale linear dynamical models. The proposed technique is based on the balanced …
A data driven reduced order model of fluid flow by auto-encoder and self-attention deep learning methods
This paper presents a new data-driven non-intrusive reduced-order model (NIROM) that
outperforms the traditional Proper orthogonal decomposition (POD) based reducedorder …
outperforms the traditional Proper orthogonal decomposition (POD) based reducedorder …
[HTML][HTML] Frequency-and time-limited balanced truncation for large-scale second-order systems
Considering the use of dynamical systems in practical applications, often only limited
regions in the time or frequency domain are of interest. Therefore, it usually pays off to …
regions in the time or frequency domain are of interest. Therefore, it usually pays off to …
Structure-preserving model reduction for mechanical systems
SWR Werner - 2021 - repo.bibliothek.uni-halle.de
In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …
The particular focus lies on mechanical systems described by differential equations with …
Low integer-order approximation of fractional-order systems using grey wolf optimizer-based cuckoo search algorithm
This paper presents a stable reduced order approximation method of fractional-order
systems based on the grey wolf optimizer hybridized with cuckoo search algorithm (GWO …
systems based on the grey wolf optimizer hybridized with cuckoo search algorithm (GWO …
Singular value decay of operator-valued differential Lyapunov and Riccati equations
T Stillfjord - SIAM Journal on Control and Optimization, 2018 - SIAM
We consider operator-valued differential Lyapunov and Riccati equations, where the
operators B and C may be relatively unbounded with respect to A (in the standard notation) …
operators B and C may be relatively unbounded with respect to A (in the standard notation) …
Finite-time balanced truncation for linear systems via shifted Legendre polynomials
ZH **ao, YL Jiang, ZZ Qi - Systems & Control Letters, 2019 - Elsevier
In this paper, we present a finite-time model order reduction method for linear systems via
shifted Legendre polynomials. The main idea of the approach is to use finite-time empirical …
shifted Legendre polynomials. The main idea of the approach is to use finite-time empirical …
Finite-frequency model order reduction of linear and bilinear systems via low-rank approximation
QY Song, U Zulfiqar, X Du - Journal of Computational and Applied …, 2025 - Elsevier
In this paper, we first investigate the finite-frequency model order reduction for linear
systems based on low-rank Gramian approximations. An efficient algorithm for computing …
systems based on low-rank Gramian approximations. An efficient algorithm for computing …